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114265299808 = 25111729658453
BaseRepresentation
bin110101001101010111…
…1100001101101100000
3101220221100022122202001
41222122233201231200
53333003404043213
6124254233533344
711153413010602
oct1523257415540
9356840278661
10114265299808
1144506867a80
121a18b274254
13aa10089c4a
14575d877172
152e8b7c51dd
hex1a9abe1b60

114265299808 has 96 divisors (see below), whose sum is σ = 268807260960. Its totient is φ = 47197839360.

The previous prime is 114265299787. The next prime is 114265299817. The reversal of 114265299808 is 808992562411.

It is a super-3 number, since 3×1142652998083 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155691 + ... + 502762.

It is an arithmetic number, because the mean of its divisors is an integer number (2800075635).

Almost surely, 2114265299808 is an apocalyptic number.

It is an amenable number.

114265299808 is an abundant number, since it is smaller than the sum of its proper divisors (154541961152).

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

114265299808 is a wasteful number, since it uses less digits than its factorization.

114265299808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658520 (or 658512 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 114265299808 in words is "one hundred fourteen billion, two hundred sixty-five million, two hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 68 88 116 136 176 187 232 272 319 352 374 464 493 544 638 748 928 986 1276 1496 1972 2552 2992 3944 5104 5423 5984 7888 10208 10846 15776 21692 43384 86768 173536 658453 1316906 2633812 5267624 7242983 10535248 11193701 14485966 19095137 21070496 22387402 28971932 38190274 44774804 57943864 76380548 89549608 115887728 123130711 152761096 179099216 210046507 231775456 246261422 305522192 324617329 358198432 420093014 492522844 611044384 649234658 840186028 985045688 1298469316 1680372056 1970091376 2596938632 3360744112 3570790619 3940182752 5193877264 6721488224 7141581238 10387754528 14283162476 28566324952 57132649904 114265299808