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114127081929 = 3272160872
BaseRepresentation
bin110101001001010000…
…0010001000111001001
3101220120201020110110100
41222102200101013021
53332213013110204
6124232415240013
711150114122200
oct1522240210711
9356521213410
10114127081929
1144445842923
121a150b19009
13a9ba554b13
145749378237
152e7e5c1a39
hex1a928111c9

114127081929 has 27 divisors (see below), whose sum is σ = 191776473837. Its totient is φ = 65211421464.

The previous prime is 114127081879. The next prime is 114127081931. The reversal of 114127081929 is 929180721411.

The square root of 114127081929 is 337827.

It is a perfect power (a square), and thus also a powerful number.

114127081929 is a `hidden beast` number, since 1 + 1 + 412 + 70 + 81 + 92 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-114127081929 is a prime.

It is a super-4 number, since 4×1141270819294 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114127081949) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7086324 + ... + 7102410.

Almost surely, 2114127081929 is an apocalyptic number.

114127081929 is the 337827-th square number.

114127081929 is the 168914-th centered octagonal number.

It is an amenable number.

114127081929 is a deficient number, since it is larger than the sum of its proper divisors (77649391908).

114127081929 is an frugal number, since it uses more digits than its factorization.

114127081929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32194 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 114127081929 in words is "one hundred fourteen billion, one hundred twenty-seven million, eighty-one thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 16087 48261 112609 144783 337827 788263 1013481 2364789 7094367 258791569 776374707 1811540983 2329124121 5434622949 12680786881 16303868847 38042360643 114127081929