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54021404240 = 24514927716361
BaseRepresentation
bin110010010011111011…
…010011011001010000
312011102211210200011122
4302103323103121100
51341113434413430
640452254101412
73621462234236
oct622373233120
9164384720148
1054021404240
1120a01746631
12a5777aa868
13512bc46a6b
142886856956
151612946ee5
hexc93ed3650

54021404240 has 80 divisors (see below), whose sum is σ = 126906944400. Its totient is φ = 21384744960.

The previous prime is 54021404231. The next prime is 54021404249. The reversal of 54021404240 is 4240412045.

54021404240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54021404231) and next prime (54021404249).

It can be written as a sum of positive squares in 8 ways, for example, as 13715220544 + 40306183696 = 117112^2 + 200764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×540214042402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54021404249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3293660 + ... + 3310020.

It is an arithmetic number, because the mean of its divisors is an integer number (1586336805).

Almost surely, 254021404240 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 54021404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63453472200).

54021404240 is an abundant number, since it is smaller than the sum of its proper divisors (72885540160).

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

54021404240 is a wasteful number, since it uses less digits than its factorization.

54021404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800 (or 16794 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 54021404240 its reverse (4240412045), we get a palindrome (58261816285).

The spelling of 54021404240 in words is "fifty-four billion, twenty-one million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 277 298 554 596 745 1108 1192 1385 1490 2216 2384 2770 2980 4432 5540 5960 11080 11920 16361 22160 32722 41273 65444 81805 82546 130888 163610 165092 206365 261776 327220 330184 412730 654440 660368 825460 1308880 1650920 2437789 3301840 4531997 4875578 9063994 9751156 12188945 18127988 19502312 22659985 24377890 36255976 39004624 45319970 48755780 72511952 90639940 97511560 181279880 195023120 362559760 675267553 1350535106 2701070212 3376337765 5402140424 6752675530 10804280848 13505351060 27010702120 54021404240