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10110441440 = 255115744569
BaseRepresentation
bin10010110101010000…
…10001011111100000
3222002121120122022002
421122220101133200
5131201233111230
64351125503132
7505355222441
oct113250213740
928077518262
1010110441440
114319098330
121b61b71aa8
13c51848738
146bcab12c8
153e2926545
hex25aa117e0

10110441440 has 48 divisors (see below), whose sum is σ = 26057369520. Its totient is φ = 3676523520.

The previous prime is 10110441413. The next prime is 10110441541. The reversal of 10110441440 is 4414401101.

It is a happy number.

It is a super-2 number, since 2×101104414402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2870525 + ... + 2874044.

It is an arithmetic number, because the mean of its divisors is an integer number (542861865).

Almost surely, 210110441440 is an apocalyptic number.

10110441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110441440 is an abundant number, since it is smaller than the sum of its proper divisors (15946928080).

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

10110441440 is a wasteful number, since it uses less digits than its factorization.

10110441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744595 (or 5744587 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10110441440 its reverse (4414401101), we get a palindrome (14524842541).

The spelling of 10110441440 in words is "ten billion, one hundred ten million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5744569 11489138 22978276 28722845 45956552 57445690 63190259 91913104 114891380 126380518 183826208 229782760 252761036 315951295 459565520 505522072 631902590 919131040 1011044144 1263805180 2022088288 2527610360 5055220720 10110441440