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110802996144 = 243611384067
BaseRepresentation
bin110011100110001011…
…1111000101110110000
3101121000001101102000000
41213030113320232300
53303411031334034
6122522512430000
711001541633041
oct1471427705660
9347001342000
10110802996144
1142a9a447a95
1219583848300
13a5aa98b759
145511acc8c8
152d37862599
hex19cc5f8bb0

110802996144 has 140 divisors (see below), whose sum is σ = 324726269016. Its totient is φ = 36607044096.

The previous prime is 110802996121. The next prime is 110802996149. The reversal of 110802996144 is 441699208011.

It is a happy number.

110802996144 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 0 + 29 + 9 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 110802996144.

It is not an unprimeable number, because it can be changed into a prime (110802996149) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1275999 + ... + 1360065.

Almost surely, 2110802996144 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 110802996144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162363134508).

110802996144 is an abundant number, since it is smaller than the sum of its proper divisors (213923272872).

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

110802996144 is an equidigital number, since it uses as much as digits as its factorization.

110802996144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84206 (or 84185 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 110802996144 in words is "one hundred ten billion, eight hundred two million, nine hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 729 904 972 1017 1296 1356 1458 1808 1944 2034 2712 2916 3051 3888 4068 5424 5832 6102 8136 9153 11664 12204 16272 18306 24408 27459 36612 48816 54918 73224 82377 84067 109836 146448 164754 168134 219672 252201 329508 336268 439344 504402 659016 672536 756603 1008804 1318032 1345072 1513206 2017608 2269809 3026412 4035216 4539618 6052824 6809427 9079236 9499571 12105648 13618854 18158472 18999142 20428281 27237708 28498713 36316944 37998284 40856562 54475416 56997426 61284843 75996568 81713124 85496139 108950832 113994852 122569686 151993136 163426248 170992278 227989704 245139372 256488417 326852496 341984556 455979408 490278744 512976834 683969112 769465251 980557488 1025953668 1367938224 1538930502 2051907336 2308395753 3077861004 4103814672 4616791506 6155722008 6925187259 9233583012 12311444016 13850374518 18467166024 27700749036 36934332048 55401498072 110802996144