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54030424341024 = 25321074373400943
BaseRepresentation
bin11000100100011111100000…
…01111111111101000100000
321002022020222011121121220100
430102033300033333220200
524040213302112403044
6310525122334342400
714244366166154025
oct1422176017775040
9232266864547810
1054030424341024
11162411a0a7444a
12608755b95aa00
13241c07c798361
14d4b12d49154c
1563a6c6b14869
hex3123f03ffa20

54030424341024 has 144 divisors (see below), whose sum is σ = 155120842461312. Its totient is φ = 17837697882624.

The previous prime is 54030424340983. The next prime is 54030424341053. The reversal of 54030424341024 is 42014342403045.

54030424341024 is a `hidden beast` number, since 5 + 4 + 0 + 304 + 2 + 4 + 341 + 0 + 2 + 4 = 666.

54030424341024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×540304243410242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54030424341024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134557897 + ... + 134958839.

It is an arithmetic number, because the mean of its divisors is an integer number (1077228072648).

Almost surely, 254030424341024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54030424341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77560421230656).

54030424341024 is an abundant number, since it is smaller than the sum of its proper divisors (101090418120288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54030424341024 is a wasteful number, since it uses less digits than its factorization.

54030424341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405439 (or 405428 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 54030424341024 its reverse (42014342403045), we get a palindrome (96044766744069).

The spelling of 54030424341024 in words is "fifty-four trillion, thirty billion, four hundred twenty-four million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 4373 5136 7704 8746 10272 13119 15408 17492 26238 30816 34984 39357 52476 69968 78714 104952 139936 157428 209904 314856 400943 419808 467911 629712 801886 935822 1202829 1259424 1403733 1603772 1871644 2405658 2807466 3207544 3608487 3743288 4211199 4811316 5614932 6415088 7216974 7486576 8422398 9622632 11229864 12830176 14433948 14973152 16844796 19245264 22459728 28867896 33689592 38490528 42900901 44919456 57735792 67379184 85801802 115471584 128702703 134758368 171603604 257405406 343207208 386108109 514810812 686414416 772216218 1029621624 1372828832 1544432436 1753323739 2059243248 3088864872 3506647478 4118486496 5259971217 6177729744 7013294956 10519942434 12355459488 14026589912 15779913651 21039884868 28053179824 31559827302 42079769736 56106359648 63119654604 84159539472 126239309208 168319078944 187605640073 252478618416 375211280146 504957236832 562816920219 750422560292 1125633840438 1500845120584 1688450760657 2251267680876 3001690241168 3376901521314 4502535361752 6003380482336 6753803042628 9005070723504 13507606085256 18010141447008 27015212170512 54030424341024