Search a number
-
+
44302214123424 = 253552110935319
BaseRepresentation
bin10100001001010111010011…
…01111000100111110100000
312210212020202110210212100000
422010223221233010332200
521301321413303422144
6234120053423500000
712221505110523525
oct1204535157047640
9183766673725300
1044302214123424
1113130510a09704
124b76095a57600
131b948b0b29aaa
14ad234aa3314c
1551c607942769
hex284ae9bc4fa0

44302214123424 has 144 divisors (see below), whose sum is σ = 130901291801280. Its totient is φ = 14739059013120.

The previous prime is 44302214123407. The next prime is 44302214123467. The reversal of 44302214123424 is 42432141220344.

44302214123424 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 2 + 214 + 12 + 3 + 424 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1416364 + ... + 9518955.

It is an arithmetic number, because the mean of its divisors is an integer number (909036748620).

Almost surely, 244302214123424 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 44302214123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65450645900640).

44302214123424 is an abundant number, since it is smaller than the sum of its proper divisors (86599077677856).

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

44302214123424 is a wasteful number, since it uses less digits than its factorization.

44302214123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935865 (or 10935845 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 44302214123424 its reverse (42432141220344), we get a palindrome (86734355343768).

The spelling of 44302214123424 in words is "forty-four trillion, three hundred two billion, two hundred fourteen million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 521 648 864 972 1042 1296 1563 1944 2084 2592 3126 3888 4168 4689 6252 7776 8336 9378 12504 14067 16672 18756 25008 28134 37512 42201 50016 56268 75024 84402 112536 126603 150048 168804 225072 253206 337608 450144 506412 675216 1012824 1350432 2025648 4051296 10935319 21870638 32805957 43741276 65611914 87482552 98417871 131223828 174965104 196835742 262447656 295253613 349930208 393671484 524895312 590507226 787342968 885760839 1049790624 1181014452 1574685936 1771521678 2362028904 2657282517 3149371872 3543043356 4724057808 5314565034 5697301199 7086086712 9448115616 10629130068 11394602398 14172173424 17091903597 21258260136 22789204796 28344346848 34183807194 42516520272 45578409592 51275710791 68367614388 85033040544 91156819184 102551421582 136735228776 153827132373 182313638368 205102843164 273470457552 307654264746 410205686328 461481397119 546940915104 615308529492 820411372656 922962794238 1230617058984 1384444191357 1640822745312 1845925588476 2461234117968 2768888382714 3691851176952 4922468235936 5537776765428 7383702353904 11075553530856 14767404707808 22151107061712 44302214123424