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110230434043440 = 24351924173340799
BaseRepresentation
bin11001000100000100000101…
…110111010101011000110000
3112110021221000110212001122120
4121010010011313111120300
5103422003412103342230
61030235055021034240
732134612625543304
oct3104040567253060
9473257013761576
10110230434043440
1132139512352707
12104434913b5980
1349678ba886559
141d31277d73d04
15cb252e94b310
hex644105dd5630

110230434043440 has 80 divisors (see below), whose sum is σ = 359699311104000. Its totient is φ = 27847688599296.

The previous prime is 110230434043427. The next prime is 110230434043453. The reversal of 110230434043440 is 44340434032011.

It is an interprime number because it is at equal distance from previous prime (110230434043427) and next prime (110230434043453).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1102304340434402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12086665840 + ... + 12086674959.

It is an arithmetic number, because the mean of its divisors is an integer number (4496241388800).

Almost surely, 2110230434043440 is an apocalyptic number.

110230434043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110230434043440 is an abundant number, since it is smaller than the sum of its proper divisors (249468877060560).

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

110230434043440 is a wasteful number, since it uses less digits than its factorization.

110230434043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24173340834 (or 24173340828 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 110230434043440 its reverse (44340434032011), we get a palindrome (154570868075451).

The spelling of 110230434043440 in words is "one hundred ten trillion, two hundred thirty billion, four hundred thirty-four million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 24173340799 48346681598 72520022397 96693363196 120866703995 145040044794 193386726392 241733407990 290080089588 362600111985 386773452784 459293475181 483466815980 580160179176 725200223970 918586950362 966933631960 1160320358352 1377880425543 1450400447940 1837173900724 1933867263920 2296467375905 2755760851086 2900800895880 3674347801448 4592934751810 5511521702172 5801601791760 6889402127715 7348695602896 9185869503620 11023043404344 13778804255430 18371739007240 22046086808688 27557608510860 36743478014480 55115217021720 110230434043440