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114240214251 = 32172231909637
BaseRepresentation
bin110101001100100111…
…1110101010011101011
3101220212121010011211100
41222121033311103223
53332430443324001
6124251540132443
711152656541062
oct1523117652353
9356777104740
10114240214251
11444a3693909
121a182997123
13aa07b15b17
14575a3c71d9
152e894bc586
hex1a993f54eb

114240214251 has 36 divisors (see below), whose sum is σ = 182912766192. Its totient is φ = 68563570944.

The previous prime is 114240214241. The next prime is 114240214261. The reversal of 114240214251 is 152412042411.

114240214251 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 402 + 1 + 4 + 251 = 666.

It is an interprime number because it is at equal distance from previous prime (114240214241) and next prime (114240214261).

It is not a de Polignac number, because 114240214251 - 215 = 114240181483 is a prime.

It is a super-2 number, since 2×1142402142512 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114240214241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 894996 + ... + 1014641.

It is an arithmetic number, because the mean of its divisors is an integer number (5080910172).

Almost surely, 2114240214251 is an apocalyptic number.

114240214251 is a deficient number, since it is larger than the sum of its proper divisors (68672551941).

114240214251 is a wasteful number, since it uses less digits than its factorization.

114240214251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909700 (or 1909680 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114240214251 its reverse (152412042411), we get a palindrome (266652256662).

The spelling of 114240214251 in words is "one hundred fourteen billion, two hundred forty million, two hundred fourteen thousand, two hundred fifty-one".

Divisors: 1 3 9 17 23 51 69 153 207 289 391 867 1173 2601 3519 6647 19941 59823 1909637 5728911 17186733 32463829 43921651 97391487 131764953 292174461 395294859 551885093 746668067 1655655279 2240004201 4966965837 6720012603 12693357139 38080071417 114240214251