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114071661 = 32112312109
BaseRepresentation
bin1101100110010…
…01100001101101
321221122102220100
412303021201231
5213200243121
615152541313
72553410304
oct663114155
9257572810
10114071661
1159432800
1232251839
131a82c732
141121543b
15a034026
hex6cc986d

114071661 has 54 divisors (see below), whose sum is σ = 188858670. Its totient is φ = 66290400.

The previous prime is 114071641. The next prime is 114071663. The reversal of 114071661 is 166170411.

It can be written as a sum of positive squares in only one way, i.e., 104652900 + 9418761 = 10230^2 + 3069^2 .

It is not a de Polignac number, because 114071661 - 27 = 114071533 is a prime.

It is a super-3 number, since 3×1140716613 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114071663) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1046475 + ... + 1046583.

Almost surely, 2114071661 is an apocalyptic number.

114071661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114071661 is a deficient number, since it is larger than the sum of its proper divisors (74787009).

114071661 is a wasteful number, since it uses less digits than its factorization.

114071661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114071661 is about 10680.4335586155. The cubic root of 114071661 is about 484.9823368350.

The spelling of 114071661 in words is "one hundred fourteen million, seventy-one thousand, six hundred sixty-one".

Divisors: 1 3 9 11 31 33 93 99 109 121 279 327 341 363 961 981 1023 1089 1199 2883 3069 3379 3597 3751 8649 10137 10571 10791 11253 13189 30411 31713 33759 37169 39567 95139 104749 111507 116281 118701 314247 334521 348843 408859 942741 1046529 1152239 1226577 3456717 3679731 10370151 12674629 38023887 114071661