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109442232144 = 24327108573643
BaseRepresentation
bin110010111101101000…
…0111110111101010000
3101110111012212102201100
41211323100332331100
53243114202412034
6122135502504400
710623036424050
oct1457320767520
9343435772640
10109442232144
1142461317943
1219263b95100
13a421a99b5b
1454230b1560
152ca816d099
hex197b43ef50

109442232144 has 60 divisors (see below), whose sum is σ = 350041428256. Its totient is φ = 31269208896.

The previous prime is 109442232143. The next prime is 109442232149. The reversal of 109442232144 is 441232244901.

109442232144 is a `hidden beast` number, since 1 + 0 + 94 + 422 + 3 + 2 + 144 = 666.

It is a super-2 number, since 2×1094422321442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109442232099 and 109442232108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109442232143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54285814 + ... + 54287829.

Almost surely, 2109442232144 is an apocalyptic number.

109442232144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

109442232144 is an abundant number, since it is smaller than the sum of its proper divisors (240599196112).

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

109442232144 is a wasteful number, since it uses less digits than its factorization.

109442232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108573664 (or 108573655 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 109442232144 in words is "one hundred nine billion, four hundred forty-two million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 108573643 217147286 325720929 434294572 651441858 760015501 868589144 977162787 1302883716 1520031002 1737178288 1954325574 2280046503 2605767432 3040062004 3908651148 4560093006 5211534864 6080124008 6840139509 7817302296 9120186012 12160248016 13680279018 15634604592 18240372024 27360558036 36480744048 54721116072 109442232144