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4101144140232 = 233318986778427
BaseRepresentation
bin111011101011011111001…
…111010101100111001000
3112112001202210020101112000
4323223133033111213020
51014143120344441412
612420012315551000
7602204114005326
oct73533717254710
915461683211460
104101144140232
111341315a50207
125629b4a5b460
13239975672019
141026d430cd16
1571a308994dc
hex3badf3d59c8

4101144140232 has 32 divisors (see below), whose sum is σ = 11392067056800. Its totient is φ = 1367048046672.

The previous prime is 4101144140213. The next prime is 4101144140251. The reversal of 4101144140232 is 2320414411014.

4101144140232 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 14 + 414 + 0 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (4101144140213) and next prime (4101144140251).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4101144140196 and 4101144140205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9493388998 + ... + 9493389429.

It is an arithmetic number, because the mean of its divisors is an integer number (356002095525).

Almost surely, 24101144140232 is an apocalyptic number.

It is an amenable number.

4101144140232 is an abundant number, since it is smaller than the sum of its proper divisors (7290922916568).

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

4101144140232 is a wasteful number, since it uses less digits than its factorization.

4101144140232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18986778442 (or 18986778432 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4101144140232 its reverse (2320414411014), we get a palindrome (6421558551246).

The spelling of 4101144140232 in words is "four trillion, one hundred one billion, one hundred forty-four million, one hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18986778427 37973556854 56960335281 75947113708 113920670562 151894227416 170881005843 227841341124 341762011686 455682682248 512643017529 683524023372 1025286035058 1367048046744 2050572070116 4101144140232