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23404133140432 = 24112953283305717
BaseRepresentation
bin1010101001001001100110…
…00010101100011111010000
310001212102011021112102212221
411110210303002230133100
511031423131040443212
6121435413233230424
74633615144214062
oct524446302543720
9101772137472787
1023404133140432
117503701016750
12275ba64a02414
13100a00081b6a5
145acaa2207732
152a8bddc97807
hex1549330ac7d0

23404133140432 has 160 divisors (see below), whose sum is σ = 52323562327680. Its totient is φ = 10041963509760.

The previous prime is 23404133140417. The next prime is 23404133140483.

23404133140432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76402038 + ... + 76707754.

It is an arithmetic number, because the mean of its divisors is an integer number (327022264548).

Almost surely, 223404133140432 is an apocalyptic number.

23404133140432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23404133140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26161781163840).

23404133140432 is an abundant number, since it is smaller than the sum of its proper divisors (28919429187248).

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

23404133140432 is a wasteful number, since it uses less digits than its factorization.

23404133140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306101 (or 306095 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 2340413 and 3140432, that added together give a palindrome (5480845).

The spelling of 23404133140432 in words is "twenty-three trillion, four hundred four billion, one hundred thirty-three million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 53 58 88 106 116 176 212 232 283 319 424 464 566 583 638 848 1132 1166 1276 1537 2264 2332 2552 3074 3113 4528 4664 5104 6148 6226 8207 9328 12296 12452 14999 16414 16907 24592 24904 29998 32828 33814 49808 59996 65656 67628 90277 119992 131312 135256 164989 180554 239984 270512 305717 329978 361108 434971 611434 659956 722216 869942 1222868 1319912 1444432 1739884 2445736 2639824 3362887 3479768 4784681 4891472 6725774 6959536 8865793 9569362 13451548 16203001 17731586 19138724 26903096 32406002 35463172 38277448 53806192 64812004 70926344 76554896 86517911 97523723 129624008 141852688 173035822 178233011 195047446 259248016 346071644 356466022 390094892 469887029 692143288 712932044 780189784 939774058 951697021 1384286576 1425864088 1560379568 1879548116 1903394042 2509019419 2851728176 3759096232 3806788084 4585449283 5018038838 5168757319 7518192464 7613576168 9170898566 10036077676 10337514638 15227152336 18341797132 20072155352 20675029276 27599213609 36683594264 40144310704 41350058552 50439942113 55198427218 73367188528 82700117104 100879884226 110396854436 132978029207 201759768452 220793708872 265956058414 403519536904 441587417744 531912116828 807039073808 1063824233656 1462758321277 2127648467312 2925516642554 5851033285108 11702066570216 23404133140432