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114511401 = 34292412
BaseRepresentation
bin1101101001101…
…00111000101001
321222110210010000
412310310320221
5213303331101
615210213213
72560221324
oct664647051
9258423100
10114511401
1159703124
1232424209
131a954934
14112cb7bb
15a0be486
hex6d34e29

114511401 has 45 divisors (see below), whose sum is σ = 181588693. Its totient is φ = 71910720.

The previous prime is 114511393. The next prime is 114511403. The reversal of 114511401 is 104115411.

The square root of 114511401 is 10701.

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

114511401 is a `hidden beast` number, since 114 + 511 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30239001 + 84272400 = 5499^2 + 9180^2 .

It is not a de Polignac number, because 114511401 - 23 = 114511393 is a prime.

It is a super-2 number, since 2×1145114012 = 26225721917965602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114511403) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2792941 + ... + 2792981.

Almost surely, 2114511401 is an apocalyptic number.

114511401 is the 10701-st square number.

114511401 is the 5351-st centered octagonal number.

It is an amenable number.

114511401 is a deficient number, since it is larger than the sum of its proper divisors (67077292).

114511401 is an frugal number, since it uses more digits than its factorization.

114511401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The cubic root of 114511401 is about 485.6047311944.

Adding to 114511401 its reverse (104115411), we get a palindrome (218626812).

The spelling of 114511401 in words is "one hundred fourteen million, five hundred eleven thousand, four hundred one".

Divisors: 1 3 9 27 29 41 81 87 123 261 369 783 841 1107 1189 1681 2349 2523 3321 3567 5043 7569 10701 15129 22707 32103 34481 45387 48749 68121 96309 103443 136161 146247 310329 438741 930987 1316223 1413721 2792961 3948669 4241163 12723489 38170467 114511401