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230023300131144 = 233213245751389029
BaseRepresentation
bin110100010011010001111001…
…000110000010100101001000
31010011110000100021122010011200
4310103101321012002211020
5220122200204313144034
62133115124551224200
766310430544610362
oct6423217106024510
91104400307563150
10230023300131144
1167324374257833
1221970081978060
139b47147a02980
1440b32896a7d32
151b8d6796b0a99
hexd13479182948

230023300131144 has 48 divisors (see below), whose sum is σ = 670901292051900. Its totient is φ = 70776400040064.

The previous prime is 230023300131127. The next prime is 230023300131151. The reversal of 230023300131144 is 441131003320032.

It is a happy number.

230023300131144 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 3 + 300 + 1 + 311 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221454577822500 + 8568722308644 = 14881350^2 + 2927238^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122875693579 + ... + 122875695450.

Almost surely, 2230023300131144 is an apocalyptic number.

230023300131144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230023300131144 is an abundant number, since it is smaller than the sum of its proper divisors (440877991920756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230023300131144 is a wasteful number, since it uses less digits than its factorization.

230023300131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245751389054 (or 245751389047 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 230023300131144 its reverse (441131003320032), we get a palindrome (671154303451176).

The spelling of 230023300131144 in words is "two hundred thirty trillion, twenty-three billion, three hundred million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 245751389029 491502778058 737254167087 983005556116 1474508334174 1966011112232 2211762501261 2949016668348 3194768057377 4423525002522 5898033336696 6389536114754 8847050005044 9584304172131 12779072229508 17694100010088 19168608344262 25558144459016 28752912516393 38337216688524 57505825032786 76674433377048 115011650065572 230023300131144