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114282173045808 = 24324185812255767
BaseRepresentation
bin11001111111000001100100…
…010101000001110000110000
3112222122021021010121101222200
4121333001210111001300300
5104434344342244431213
61043020301105303200
733033420533036055
oct3177014425016060
9488567233541880
10114282173045808
1133460885399569
1210998798634b00
134b9c9bb7a5991
14203140295d02c
15d32b1cca6273
hex67f064541c30

114282173045808 has 120 divisors (see below), whose sum is σ = 327670450519776. Its totient is φ = 37160586777600.

The previous prime is 114282173045771. The next prime is 114282173045923. The reversal of 114282173045808 is 808540371282411.

114282173045808 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 21 + 7 + 30 + 4 + 580 + 8 = 666.

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, 49534341 + ... + 51790107.

Almost surely, 2114282173045808 is an apocalyptic number.

114282173045808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114282173045808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163835225259888).

114282173045808 is an abundant number, since it is smaller than the sum of its proper divisors (213388277473968).

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

114282173045808 is a wasteful number, since it uses less digits than its factorization.

114282173045808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264403 (or 2264394 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 114282173045808 in words is "one hundred fourteen trillion, two hundred eighty-two billion, one hundred seventy-three million, forty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 8581 17162 25743 34324 51486 68648 77229 102972 137296 154458 205944 308916 351821 411888 617832 703642 1055463 1235664 1407284 2110926 2255767 2814568 3166389 4221852 4511534 5629136 6332778 6767301 8443704 9023068 12665556 13534602 16887408 18046136 20301903 25331112 27069204 36092272 40603806 50662224 54138408 81207612 92486447 108276816 162415224 184972894 277459341 324830448 369945788 554918682 739891576 832378023 1109837364 1479783152 1664756046 2219674728 3329512092 4439349456 6659024184 13318048368 19356736627 38713473254 58070209881 77426946508 116140419762 154853893016 174210629643 232280839524 309707786032 348421259286 464561679048 696842518572 793626201707 929123358096 1393685037144 1587252403414 2380878605121 2787370074288 3174504806828 4761757210242 6349009613656 7142635815363 9523514420484 12698019227312 14285271630726 19047028840968 28570543261452 38094057681936 57141086522904 114282173045808