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10401400432 = 241945774869
BaseRepresentation
bin10011010111111100…
…01100011001110000
3222211220001220000001
421223332030121300
5132300224303212
64440042035344
7515520305413
oct115376143160
928756056001
1010401400432
114458357105
1220234a8b54
13c99bcc317
147095adb7a
1540d24b657
hex26bf8c670

10401400432 has 40 divisors (see below), whose sum is σ = 21260085200. Its totient is φ = 4916132352.

The previous prime is 10401400409. The next prime is 10401400433. The reversal of 10401400432 is 23400410401.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401400433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101494 + ... + 176362.

It is an arithmetic number, because the mean of its divisors is an integer number (531502130).

Almost surely, 210401400432 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 10401400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630042600).

10401400432 is an abundant number, since it is smaller than the sum of its proper divisors (10858684768).

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

10401400432 is a wasteful number, since it uses less digits than its factorization.

10401400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75353 (or 75347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10401400432 its reverse (23400410401), we get a palindrome (33801810833).

The spelling of 10401400432 in words is "ten billion, four hundred one million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 457 914 1828 3656 7312 8683 17366 34732 69464 74869 138928 149738 299476 598952 1197904 1422511 2845022 5690044 11380088 22760176 34215133 68430266 136860532 273721064 547442128 650087527 1300175054 2600350108 5200700216 10401400432