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107340257040 = 2435736126727
BaseRepresentation
bin110001111110111111…
…0100101011100010000
3101021001201122000221120
41203331332211130100
53224313101211130
6121151134122240
710516664062542
oct1437576453420
9337051560846
10107340257040
114158285a935
1218978050380
13a178469cc3
1452a3c6d692
152bd3865910
hex18fdfa5710

107340257040 has 80 divisors (see below), whose sum is σ = 337313136768. Its totient is φ = 28231953408.

The previous prime is 107340257033. The next prime is 107340257071. The reversal of 107340257040 is 40752043701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 107340256992 and 107340257010.

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, 3045844 + ... + 3080883.

Almost surely, 2107340257040 is an apocalyptic number.

107340257040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107340257040 is an abundant number, since it is smaller than the sum of its proper divisors (229972879728).

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

107340257040 is a wasteful number, since it uses less digits than its factorization.

107340257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126816 (or 6126810 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 107340257040 in words is "one hundred seven billion, three hundred forty million, two hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 6126727 12253454 18380181 24506908 30633635 36760362 49013816 61267270 73520724 91900905 98027632 122534540 147041448 183801810 245069080 294082896 367603620 447251071 490138160 735207240 894502142 1341753213 1470414480 1789004284 2236255355 2683506426 3578008568 4472510710 5367012852 6708766065 7156017136 8945021420 10734025704 13417532130 17890042840 21468051408 26835064260 35780085680 53670128520 107340257040