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23740134440 = 23511195948131
BaseRepresentation
bin10110000111000001…
…011011010000101000
32021021111020210011112
4112013001123100220
5342104433300230
614523413245452
71500205545641
oct260701332050
967244223145
1023740134440
11a082761420
124726633888
132314511339
141212d126c8
1593e2add95
hex58705b428

23740134440 has 128 divisors (see below), whose sum is σ = 62379072000. Its totient is φ = 8039635200.

The previous prime is 23740134413. The next prime is 23740134463. The reversal of 23740134440 is 4443104732.

It is a super-2 number, since 2×237401344402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23740134397 and 23740134406.

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, 469175 + ... + 517305.

It is an arithmetic number, because the mean of its divisors is an integer number (487336500).

Almost surely, 223740134440 is an apocalyptic number.

23740134440 is a gapful number since it is divisible by the number (20) 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 23740134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31189536000).

23740134440 is an abundant number, since it is smaller than the sum of its proper divisors (38638937560).

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

23740134440 is a wasteful number, since it uses less digits than its factorization.

23740134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48231 (or 48227 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 23740134440 in words is "twenty-three billion, seven hundred forty million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 59 76 88 95 110 118 152 190 209 220 236 295 380 418 440 472 590 649 760 836 1045 1121 1180 1298 1672 2090 2242 2360 2596 3245 4180 4484 5192 5605 6490 8360 8968 11210 12331 12980 22420 24662 25960 44840 48131 49324 61655 96262 98648 123310 192524 240655 246620 385048 481310 493240 529441 914489 962620 1058882 1828978 1925240 2117764 2647205 2839729 3657956 4235528 4572445 5294410 5679458 7315912 9144890 10059379 10588820 11358916 14198645 18289780 20118758 21177640 22717832 28397290 31237019 36579560 40237516 50296895 53954851 56794580 62474038 80475032 100593790 107909702 113589160 124948076 156185095 201187580 215819404 249896152 269774255 312370190 402375160 431638808 539548510 593503361 624740380 1079097020 1187006722 1249480760 2158194040 2374013444 2967516805 4748026888 5935033610 11870067220 23740134440