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144191954496 = 2632273308369
BaseRepresentation
bin1000011001001010000…
…0101001111001000000
3111210011222121020021010
42012102200221321000
54330301120020441
6150124010000520
713263132250662
oct2062240517100
9453158536233
10144191954496
1156173665647
1223b41716140
131079c1b1945
146d9c26c532
153b3dc62116
hex2192829e40

144191954496 has 56 divisors (see below), whose sum is σ = 383188646880. Its totient is φ = 47852234752.

The previous prime is 144191954483. The next prime is 144191954497. The reversal of 144191954496 is 694459191441.

It is a super-2 number, since 2×1441919544962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144191954497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1610601 + ... + 1697768.

Almost surely, 2144191954496 is an apocalyptic number.

144191954496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144191954496 is an abundant number, since it is smaller than the sum of its proper divisors (238996692384).

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

144191954496 is a wasteful number, since it uses less digits than its factorization.

144191954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308611 (or 3308601 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The spelling of 144191954496 in words is "one hundred forty-four billion, one hundred ninety-one million, nine hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 14528 21792 43584 3308369 6616738 9925107 13233476 19850214 26466952 39700428 52933904 79400856 105867808 158801712 211735616 317603424 635206848 750999763 1501999526 2252999289 3003999052 4505998578 6007998104 9011997156 12015996208 18023994312 24031992416 36047988624 48063984832 72095977248 144191954496