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144132114204 = 223313269381629
BaseRepresentation
bin1000011000111011110…
…0011000011100011100
3111210000211000000211000
42012032330120130130
54330140310123304
6150114031230300
713261504520331
oct2061674303434
9453024000730
10144132114204
1156142903761
1223b25678390
131078c98c5a0
146d94332988
153b38891939
hex218ef1871c

144132114204 has 96 divisors (see below), whose sum is σ = 403917192000. Its totient is φ = 44183363328.

The previous prime is 144132114197. The next prime is 144132114211. The reversal of 144132114204 is 402411231441.

144132114204 is a `hidden beast` number, since 1 + 441 + 3 + 2 + 1 + 14 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (144132114197) and next prime (144132114211).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186862 + ... + 568490.

It is an arithmetic number, because the mean of its divisors is an integer number (4207470750).

Almost surely, 2144132114204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144132114204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201958596000).

144132114204 is an abundant number, since it is smaller than the sum of its proper divisors (259785077796).

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

144132114204 is a wasteful number, since it uses less digits than its factorization.

144132114204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381924 (or 381916 counting only the distinct ones).

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

Adding to 144132114204 its reverse (402411231441), we get a palindrome (546543345645).

The spelling of 144132114204 in words is "one hundred forty-four billion, one hundred thirty-two million, one hundred fourteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 269 351 468 538 702 807 1076 1404 1614 2421 3228 3497 4842 6994 7263 9684 10491 13988 14526 20982 29052 31473 41964 62946 94419 125892 188838 377676 381629 763258 1144887 1526516 2289774 3434661 4579548 4961177 6869322 9922354 10303983 13738644 14883531 19844708 20607966 29767062 41215932 44650593 59534124 89301186 102658201 133951779 178602372 205316402 267903558 307974603 410632804 535807116 615949206 923923809 1231898412 1334556613 1847847618 2669113226 2771771427 3695695236 4003669839 5338226452 5543542854 8007339678 11087085708 12011009517 16014679356 24022019034 36033028551 48044038068 72066057102 144132114204