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240766416136345 = 511194310750075741
BaseRepresentation
bin110110101111100111001100…
…101101010010100010011001
31011120111001012111201202210111
4312233213030231102202121
5223024204110012330340
62212022321543244321
7101466541145140411
oct6657471455224231
91146431174652714
10240766416136345
116a7965111612a0
12230061897496a1
13a446238aba728
14436522a06b641
151cc7d489edaea
hexdaf9ccb52899

240766416136345 has 64 divisors (see below), whose sum is σ = 342662293416960. Its totient is φ = 160514780025600.

The previous prime is 240766416136331. The next prime is 240766416136349. The reversal of 240766416136345 is 543631614667042.

It is not a de Polignac number, because 240766416136345 - 213 = 240766416128153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 240766416136345.

It is not an unprimeable number, because it can be changed into a prime (240766416136349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20229826 + ... + 29845915.

It is an arithmetic number, because the mean of its divisors is an integer number (5354098334640).

Almost surely, 2240766416136345 is an apocalyptic number.

It is an amenable number.

240766416136345 is a deficient number, since it is larger than the sum of its proper divisors (101895877280615).

240766416136345 is a wasteful number, since it uses less digits than its factorization.

240766416136345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50075926.

The product of its (nonzero) digits is 52254720, while the sum is 58.

The spelling of 240766416136345 in words is "two hundred forty trillion, seven hundred sixty-six billion, four hundred sixteen million, one hundred thirty-six thousand, three hundred forty-five".

Divisors: 1 5 11 19 43 55 95 107 209 215 473 535 817 1045 1177 2033 2365 4085 4601 5885 8987 10165 22363 23005 44935 50611 87419 111815 253055 437095 961609 4808045 50075741 250378705 550833151 951439079 2153256863 2754165755 4757195395 5358104287 10465829869 10766284315 23685825493 26790521435 40911880397 52329149345 58939147157 101803981453 118429127465 204559401985 230398484341 294695735785 450030684367 509019907265 1119843795983 1151992421705 2250153421835 2534383327751 4377571202479 5599218979915 12671916638755 21887856012395 48153283227269 240766416136345