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34101913356 = 223575012039
BaseRepresentation
bin11111110000101000…
…011110011100001100
310021000121202200200000
4133300220132130030
51024320042211411
623355522204300
72315035323630
oct376050363414
9107017680600
1034101913356
111350a706275
1267387b3690
1332a614a174
14191712adc0
15d48cd0956
hex7f0a1e70c

34101913356 has 72 divisors (see below), whose sum is σ = 102165423360. Its totient is φ = 9743401872.

The previous prime is 34101913333. The next prime is 34101913361. The reversal of 34101913356 is 65331910143.

It is a happy number.

34101913356 is a `hidden beast` number, since 3 + 410 + 191 + 3 + 3 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34101913356.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2499216 + ... + 2512823.

Almost surely, 234101913356 is an apocalyptic number.

34101913356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34101913356 is an abundant number, since it is smaller than the sum of its proper divisors (68063510004).

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

34101913356 is a wasteful number, since it uses less digits than its factorization.

34101913356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012065 (or 5012051 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 34101913356 in words is "thirty-four billion, one hundred one million, nine hundred thirteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 5012039 10024078 15036117 20048156 30072234 35084273 45108351 60144468 70168546 90216702 105252819 135325053 140337092 180433404 210505638 270650106 315758457 405975159 421011276 541300212 631516914 811950318 947275371 1217925477 1263033828 1623900636 1894550742 2435850954 2841826113 3789101484 4871701908 5683652226 8525478339 11367304452 17050956678 34101913356