Search a number
-
+
107700700400442 = 23352315712427431
BaseRepresentation
bin11000011111010000000101…
…111111010100101100111010
3112010100002022222200221012000
4120133100011333110230322
5103104032013300303232
61021021004013401430
731454055520426002
oct3037200577245472
9463302288627160
10107700700400442
1131353679696356
12100b514a799276
13481319505ac26
141c84a5538d002
15c6b8207c727c
hex61f405fd4b3a

107700700400442 has 64 divisors (see below), whose sum is σ = 239945244779520. Its totient is φ = 35808767679600.

The previous prime is 107700700400369. The next prime is 107700700400467. The reversal of 107700700400442 is 244004007007701.

107700700400442 is a `hidden beast` number, since 107 + 7 + 0 + 0 + 70 + 0 + 40 + 0 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107700700400397 and 107700700400406.

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, 43154467 + ... + 45581897.

It is an arithmetic number, because the mean of its divisors is an integer number (3749144449680).

Almost surely, 2107700700400442 is an apocalyptic number.

107700700400442 is an abundant number, since it is smaller than the sum of its proper divisors (132244544379078).

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

107700700400442 is a wasteful number, since it uses less digits than its factorization.

107700700400442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429536 (or 2429530 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 107700700400442 in words is "one hundred seven trillion, seven hundred billion, seven hundred million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 523 1046 1569 1571 3138 3142 4707 4713 9414 9426 14121 14139 28242 28278 42417 84834 821633 1643266 2427431 2464899 4854862 4929798 7282293 7394697 14564586 14789394 21846879 22184091 43693758 44368182 65540637 131081274 1269546413 2539092826 3808639239 3813494101 7617278478 7626988202 11425917717 11440482303 22851835434 22880964606 34277753151 34321446909 68555506302 68642893818 102964340727 205928681454 1994457414823 3988914829646 5983372244469 11966744488938 17950116733407 35900233466814 53850350200221 107700700400442