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109075311744 = 273740578613
BaseRepresentation
bin110010110010101100…
…1010010110010000000
3101102112122102221112220
41211211121102302000
53241341234433434
6122035234251040
710610662565220
oct1454531226200
9342478387486
10109075311744
1142293196143
1219181126a80
13a393a6b1a9
1453ca47c080
152c85d40d49
hex1965652c80

109075311744 has 64 divisors (see below), whose sum is σ = 331121490240. Its totient is φ = 31164374016.

The previous prime is 109075311743. The next prime is 109075311749. The reversal of 109075311744 is 447113570901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 109075311696 and 109075311705.

It is not an unprimeable number, because it can be changed into a prime (109075311743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20286619 + ... + 20291994.

It is an arithmetic number, because the mean of its divisors is an integer number (5173773285).

Almost surely, 2109075311744 is an apocalyptic number.

109075311744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

109075311744 is an abundant number, since it is smaller than the sum of its proper divisors (222046178496).

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

109075311744 is an equidigital number, since it uses as much as digits as its factorization.

109075311744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40578637 (or 40578625 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 109075311744 in words is "one hundred nine billion, seventy-five million, three hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 40578613 81157226 121735839 162314452 243471678 284050291 324628904 486943356 568100582 649257808 852150873 973886712 1136201164 1298515616 1704301746 1947773424 2272402328 2597031232 3408603492 3895546848 4544804656 5194062464 6817206984 7791093696 9089609312 13634413968 15582187392 18179218624 27268827936 36358437248 54537655872 109075311744