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144784812096 = 26363103241
BaseRepresentation
bin1000011011010111011…
…0001110100001000000
3111211201022011112000000
42012311312032201000
54333004402441341
6150302505000000
713313621411541
oct2066566164100
9454638145000
10144784812096
1156448285301
1224088183000
1310864c79562
147016cb64c8
153b75d1d8b6
hex21b5d8e840

144784812096 has 98 divisors (see below), whose sum is σ = 430764125262. Its totient is φ = 48261588480.

The previous prime is 144784812047. The next prime is 144784812191. The reversal of 144784812096 is 690218487441.

144784812096 is a `hidden beast` number, since 1 + 4 + 4 + 78 + 481 + 2 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116472038400 + 28312773696 = 341280^2 + 168264^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1504965 + ... + 1598276.

Almost surely, 2144784812096 is an apocalyptic number.

144784812096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144784812096 is an abundant number, since it is smaller than the sum of its proper divisors (285979313166).

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

144784812096 is an frugal number, since it uses more digits than its factorization.

144784812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103271 (or 3103246 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 144784812096 in words is "one hundred forty-four billion, seven hundred eighty-four million, eight hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 3103241 6206482 9309723 12412964 18619446 24825928 27929169 37238892 49651856 55858338 74477784 83787507 99303712 111716676 148955568 167575014 198607424 223433352 251362521 297911136 335150028 446866704 502725042 595822272 670300056 754087563 893733408 1005450084 1340600112 1508175126 1787466816 2010900168 2262262689 2681200224 3016350252 4021800336 4524525378 5362400448 6032700504 8043600672 9049050756 12065401008 16087201344 18098101512 24130802016 36196203024 48261604032 72392406048 144784812096