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107340444110704 = 24711332592602451
BaseRepresentation
bin11000011010000000100101…
…000010101000111101110000
3112002001122110002221020021011
4120122000211002220331300
5103032131212143020304
61020143304055040304
731416043161456250
oct3032004502507560
9462048402836234
10107340444110704
11312249103827a2
1210057369670094
1347b821166990c
141c7143b721960
15c6228813cc04
hex61a0250a8f70

107340444110704 has 80 divisors (see below), whose sum is σ = 239859464797440. Its totient is φ = 45581932569600.

The previous prime is 107340444110681. The next prime is 107340444110743. The reversal of 107340444110704 is 407011444043701.

It is a happy number.

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, 39944679 + ... + 42547129.

It is an arithmetic number, because the mean of its divisors is an integer number (2998243309968).

Almost surely, 2107340444110704 is an apocalyptic number.

107340444110704 is a gapful number since it is divisible by the number (14) 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 107340444110704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119929732398720).

107340444110704 is an abundant number, since it is smaller than the sum of its proper divisors (132519020686736).

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

107340444110704 is a wasteful number, since it uses less digits than its factorization.

107340444110704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605838 (or 2605832 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 107340444110704 in words is "one hundred seven trillion, three hundred forty billion, four hundred forty-four million, one hundred ten thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 904 1582 1808 3164 3259 6328 6518 12656 13036 22813 26072 45626 52144 91252 182504 365008 368267 736534 1473068 2577869 2602451 2946136 5155738 5204902 5892272 10311476 10409804 18217157 20622952 20819608 36434314 41245904 41639216 72868628 145737256 291474512 294076963 588153926 1176307852 2058538741 2352615704 4117077482 4705231408 8234154964 8481387809 16468309928 16962775618 32936619856 33925551236 59369714663 67851102472 118739429326 135702204944 237478858652 474957717304 949915434608 958396822417 1916793644834 3833587289668 6708777756919 7667174579336 13417555513838 15334349158672 26835111027676 53670222055352 107340444110704