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114237011757 = 311171911879029
BaseRepresentation
bin110101001100100001…
…1100111011100101101
3101220212101002110211110
41222121003213130231
53332424133334012
6124251343342233
711152620402261
oct1523103473455
9356771073743
10114237011757
11444a18a6820
121a1818b1979
13aa0726425b
145759bd20a1
152e8908873c
hex1a990e772d

114237011757 has 64 divisors (see below), whose sum is σ = 185373619200. Its totient is φ = 61673518080.

The previous prime is 114237011753. The next prime is 114237011771. The reversal of 114237011757 is 757110732411.

It is not a de Polignac number, because 114237011757 - 22 = 114237011753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114237011753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12647719 + ... + 12656747.

It is an arithmetic number, because the mean of its divisors is an integer number (2896462800).

Almost surely, 2114237011757 is an apocalyptic number.

114237011757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

114237011757 is a deficient number, since it is larger than the sum of its proper divisors (71136607443).

114237011757 is a wasteful number, since it uses less digits than its factorization.

114237011757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266.

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 114237011757 in words is "one hundred fourteen billion, two hundred thirty-seven million, eleven thousand, seven hundred fifty-seven".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 561 627 969 1187 3553 3561 9029 10659 13057 20179 22553 27087 39171 60537 67659 99319 153493 171551 221969 248083 297957 383401 460479 514653 665907 744249 1150203 1688423 1887061 2916367 4217411 5065269 5661183 8749101 10717423 12652233 32080037 32152269 96240111 117891653 182196191 203631037 353674959 546588573 610893111 2004158101 2239941407 3461727629 6012474303 6719824221 10385182887 38079003919 114237011757