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144100879507 = 1353668931267
BaseRepresentation
bin1000011000110100010…
…1001110110010010011
3111202221122020010212101
42012031011032302103
54330104311121012
6150110553541231
713260645160144
oct2061505166223
9452848203771
10144100879507
115612720a662
1223b17114817
1310786374610
146d90121acb
153b35c71d57
hex218d14ec93

144100879507 has 16 divisors (see below), whose sum is σ = 158142287520. Its totient is φ = 130482772992.

The previous prime is 144100879501. The next prime is 144100879511. The reversal of 144100879507 is 705978001441.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-144100879507 is a prime.

It is a super-4 number, since 4×1441008795074 (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144100879501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4593088 + ... + 4624354.

It is an arithmetic number, because the mean of its divisors is an integer number (9883892970).

Almost surely, 2144100879507 is an apocalyptic number.

144100879507 is a deficient number, since it is larger than the sum of its proper divisors (14041408013).

144100879507 is a wasteful number, since it uses less digits than its factorization.

144100879507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38022.

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 144100879507 in words is "one hundred forty-four billion, one hundred million, eight hundred seventy-nine thousand, five hundred seven".

Divisors: 1 13 53 689 6689 31267 86957 354517 406471 1657151 4608721 21542963 209144963 2718884519 11084683039 144100879507