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23042577442040 = 23513269934914703
BaseRepresentation
bin1010011110101000001001…
…01001001010010011111000
310000120211220211200221101122
411033110010221022103320
511010012144311121130
6121001340340004412
74565525356406042
oct517240451122370
9100524824627348
1023042577442040
11738433627a142
122701980690708
13cb1ba0b6b610
145993a3b70a92
1529e5cc4d82e5
hex14f504a4a4f8

23042577442040 has 128 divisors (see below), whose sum is σ = 55882503936000. Its totient is φ = 8500632199680.

The previous prime is 23042577442021. The next prime is 23042577442091. The reversal of 23042577442040 is 4024477524032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23042577441982 and 23042577442000.

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, 4899546329 + ... + 4899551031.

It is an arithmetic number, because the mean of its divisors is an integer number (436582062000).

Almost surely, 223042577442040 is an apocalyptic number.

23042577442040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23042577442040 is an abundant number, since it is smaller than the sum of its proper divisors (32839926493960).

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

23042577442040 is a wasteful number, since it uses less digits than its factorization.

23042577442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10917 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 44.

The spelling of 23042577442040 in words is "twenty-three trillion, forty-two billion, five hundred seventy-seven million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2699 3491 4703 5398 6982 9406 10796 13495 13964 17455 18812 21592 23515 26990 27928 34910 35087 37624 45383 47030 53980 61139 69820 70174 90766 94060 107960 122278 139640 140348 175435 181532 188120 226915 244556 280696 305695 350870 363064 453830 489112 611390 701740 907660 1222780 1403480 1815320 2445560 9422209 12693397 16418173 18844418 25386794 32836346 37688836 47111045 50773588 63466985 65672692 75377672 82090865 94222090 101547176 122488717 126933970 131345384 164181730 165014161 188444180 213436249 244977434 253867940 328363460 330028322 376888360 426872498 489954868 507735880 612443585 656726920 660056644 825070805 853744996 979909736 1067181245 1224887170 1320113288 1650141610 1707489992 2134362490 2449774340 3300283220 4268724980 4899548680 6600566440 8537449960 44312648927 88625297854 177250595708 221563244635 354501191416 443126489270 576064436051 886252978540 1152128872102 1772505957080 2304257744204 2880322180255 4608515488408 5760644360510 11521288721020 23042577442040