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23401010432 = 281941271433
BaseRepresentation
bin10101110010110011…
…110001010100000000
32020101212010111111002
4111302303301110000
5340411124313212
614430020511132
71455620210132
oct256263612400
966355114432
1023401010432
119a19295548
124650b4b4a8
13228c195647
1411bdc77052
1591e622ac2
hex572cf1500

23401010432 has 144 divisors (see below), whose sum is σ = 50670923520. Its totient is φ = 10749542400.

The previous prime is 23401010431. The next prime is 23401010449.

23401010432 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×234010104323 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23401010431) 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, 54043688 + ... + 54044120.

Almost surely, 223401010432 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 23401010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25335461760).

23401010432 is an abundant number, since it is smaller than the sum of its proper divisors (27269913088).

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

23401010432 is a wasteful number, since it uses less digits than its factorization.

23401010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 234010 and 10432, that added together give a palindrome (244442).

The spelling of 23401010432 in words is "twenty-three billion, four hundred one million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 271 304 328 433 542 608 656 779 866 1084 1216 1312 1558 1732 2168 2432 2624 3116 3464 4336 4864 5149 5248 6232 6928 8227 8672 10298 10496 11111 12464 13856 16454 17344 17753 20596 22222 24928 27712 32908 34688 35506 41192 44444 49856 55424 65816 69376 71012 82384 88888 99712 110848 117343 131632 142024 164768 177776 199424 211109 234686 263264 284048 329536 337307 355552 422218 469372 526528 568096 659072 674614 711104 844436 938744 1053056 1136192 1318144 1349228 1422208 1688872 1877488 2106112 2229517 2272384 2698456 2844416 3377744 3754976 4459034 4544768 4811063 5396912 6755488 7509952 8918068 9622126 10793824 13510976 15019904 17836136 19244252 21587648 27021952 30039808 35672272 38488504 43175296 54043904 71344544 76977008 86350592 91410197 142689088 153954016 182820394 285378176 307908032 365640788 570756352 615816064 731281576 1231632128 1462563152 2925126304 5850252608 11700505216 23401010432