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107700700400440 = 2357373107532949
BaseRepresentation
bin11000011111010000000101…
…111111010100101100111000
3112010100002022222200221011221
4120133100011333110230320
5103104032013300303230
61021021004013401424
731454055520426000
oct3037200577245470
9463302288627157
10107700700400440
1131353679696354
12100b514a799274
13481319505ac24
141c84a5538d000
15c6b8207c727a
hex61f405fd4b38

107700700400440 has 128 divisors (see below), whose sum is σ = 286467778800000. Its totient is φ = 36420119092224.

The previous prime is 107700700400369. The next prime is 107700700400467. The reversal of 107700700400440 is 44004007007701.

It is a junction number, because it is equal to n+sod(n) for n = 107700700400396 and 107700700400405.

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, 52764915 + ... + 54768034.

It is an arithmetic number, because the mean of its divisors is an integer number (2238029521875).

Almost surely, 2107700700400440 is an apocalyptic number.

107700700400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107700700400440 is an abundant number, since it is smaller than the sum of its proper divisors (178767078399560).

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

107700700400440 is a wasteful number, since it uses less digits than its factorization.

107700700400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107533054 (or 107533036 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 34.

The spelling of 107700700400440 in words is "one hundred seven trillion, seven hundred billion, seven hundred million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 343 365 392 490 511 584 686 730 980 1022 1372 1460 1715 1960 2044 2555 2744 2920 3430 3577 4088 5110 6860 7154 10220 13720 14308 17885 20440 25039 28616 35770 50078 71540 100156 125195 143080 200312 250390 500780 1001560 107532949 215065898 430131796 537664745 752730643 860263592 1075329490 1505461286 2150658980 3010922572 3763653215 4301317960 5269114501 6021845144 7527306430 7849905277 10538229002 15054612860 15699810554 21076458004 26345572505 30109225720 31399621108 36883801507 39249526385 42152916008 52691145010 54949336939 62799242216 73767603014 78499052770 105382290020 109898673878 147535206028 156998105540 184419007535 210764580040 219797347756 274746684695 295070412056 313996211080 368838015070 384645358573 439594695512 549493369390 737676030140 769290717146 1098986738780 1475352060280 1538581434292 1923226792865 2197973477560 2692517510011 3077162868584 3846453585730 5385035020022 7692907171460 10770070040044 13462587550055 15385814342920 21540140080088 26925175100110 53850350200220 107700700400440