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407568980040 = 233529117117523
BaseRepresentation
bin1011110111001010000…
…00010001100001001000
31102222000011221101122220
411323211000101201020
523134200124330130
6511122401414040
741305640112135
oct5734500214110
91388004841586
10407568980040
11147938078102
1266ba603a320
132c58379b861
1415a2550d58c
15a906154410
hex5ee5011848

407568980040 has 64 divisors (see below), whose sum is σ = 1264869259200. Its totient is φ = 104937299712.

The previous prime is 407568980033. The next prime is 407568980057. The reversal of 407568980040 is 40089865704.

It is a super-2 number, since 2×4075689800402 (a number of 24 digits) contains 22 as substring.

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, 58555282 + ... + 58562241.

It is an arithmetic number, because the mean of its divisors is an integer number (19763582175).

Almost surely, 2407568980040 is an apocalyptic number.

407568980040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407568980040 is an abundant number, since it is smaller than the sum of its proper divisors (857300279160).

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

407568980040 is a wasteful number, since it uses less digits than its factorization.

407568980040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117117566 (or 117117562 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 407568980040 in words is "four hundred seven billion, five hundred sixty-eight million, nine hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 117117523 234235046 351352569 468470092 585587615 702705138 936940184 1171175230 1405410276 1756762845 2342350460 2810820552 3396408167 3513525690 4684700920 6792816334 7027051380 10189224501 13585632668 14054102760 16982040835 20378449002 27171265336 33964081670 40756898004 50946122505 67928163340 81513796008 101892245010 135856326680 203784490020 407568980040