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23400113024 = 2719411092153
BaseRepresentation
bin10101110010110000…
…010110001110000000
32020101210102220110202
4111302300112032000
5340410412104044
614425545344332
71455606451601
oct256260261600
966353386422
1023400113024
119a18832292
1246507980a8
13228bc40032
1411bdac1da8
1591e4e6c4e
hex572c16380

23400113024 has 128 divisors (see below), whose sum is σ = 50752548000. Its totient is φ = 10709729280.

The previous prime is 23400112999. The next prime is 23400113057. The reversal of 23400113024 is 42031100432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23400112987 and 23400113005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10867532 + ... + 10869684.

Almost surely, 223400113024 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 23400113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25376274000).

23400113024 is an abundant number, since it is smaller than the sum of its proper divisors (27352434976).

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

23400113024 is a wasteful number, since it uses less digits than its factorization.

23400113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2324 counting only the distinct ones).

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

Adding to 23400113024 its reverse (42031100432), we get a palindrome (65431213456).

The spelling of 23400113024 in words is "twenty-three billion, four hundred million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 109 128 152 164 218 304 328 436 608 656 779 872 1216 1312 1558 1744 2071 2153 2432 2624 3116 3488 4142 4306 4469 5248 6232 6976 8284 8612 8938 12464 13952 16568 17224 17876 24928 33136 34448 35752 40907 49856 66272 68896 71504 81814 84911 88273 99712 132544 137792 143008 163628 169822 176546 234677 265088 275584 286016 327256 339644 353092 469354 572032 654512 679288 706184 938708 1309024 1358576 1412368 1677187 1877416 2618048 2717152 2824736 3354374 3754832 4458863 5236096 5434304 5649472 6708748 7509664 8917726 9621757 10868608 11298944 13417496 15019328 17835452 19243514 26834992 30038656 35670904 38487028 53669984 71341808 76974056 107339968 142683616 153948112 182813383 214679936 285367232 307896224 365626766 570734464 615792448 731253532 1231584896 1462507064 2925014128 5850028256 11700056512 23400113024