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114240054103002 = 23328143317387231
BaseRepresentation
bin11001111110011010010101…
…110110000000101111011010
3112222111020112210101102102000
4121332122111312000233122
5104433202112322244002
61042545053434221430
733030400015654332
oct3176322566005732
9488436483342360
10114240054103002
1133444a31344423
12109905a2b84876
134b98a38732409
14202d368bb40c2
15d319a526461c
hex67e695d80bda

114240054103002 has 64 divisors (see below), whose sum is σ = 255358626001920. Its totient is φ = 37856868134400.

The previous prime is 114240054102997. The next prime is 114240054103103. The reversal of 114240054103002 is 200301450042411.

114240054103002 is a `hidden beast` number, since 1 + 1 + 4 + 240 + 0 + 5 + 410 + 3 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×1142400541030022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2123274 + ... + 15263957.

It is an arithmetic number, because the mean of its divisors is an integer number (3989978531280).

Almost surely, 2114240054103002 is an apocalyptic number.

114240054103002 is an abundant number, since it is smaller than the sum of its proper divisors (141118571898918).

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

114240054103002 is a wasteful number, since it uses less digits than its factorization.

114240054103002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17387956 (or 17387950 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 114240054103002 in words is "one hundred fourteen trillion, two hundred forty billion, fifty-four million, one hundred three thousand, two".

Divisors: 1 2 3 6 9 18 27 54 281 433 562 843 866 1299 1686 2529 2598 3897 5058 7587 7794 11691 15174 23382 121673 243346 365019 730038 1095057 2190114 3285171 6570342 17387231 34774462 52161693 104323386 156485079 312970158 469455237 938910474 4885811911 7528671023 9771623822 14657435733 15057342046 22586013069 29314871466 43972307199 45172026138 67758039207 87944614398 131916921597 135516078414 203274117621 263833843194 406548235242 2115556557463 4231113114926 6346669672389 12693339344778 19040009017167 38080018034334 57120027051501 114240054103002