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103311432144 = 24322039351859
BaseRepresentation
bin110000000110111010…
…1110101100111010000
3100212122221200112011200
41200031311311213100
53143040211312034
6115243254311200
710315103453424
oct1401565654720
9325587615150
10103311432144
113a8a5679088
1218032958500
13998589544b
145000b74b84
152a49ce9a99
hex180dd759d0

103311432144 has 60 divisors (see below), whose sum is σ = 289271143200. Its totient is φ = 34420156992.

The previous prime is 103311432127. The next prime is 103311432149. The reversal of 103311432144 is 441234113301.

103311432144 is a `hidden beast` number, since 1 + 0 + 331 + 1 + 4 + 321 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311432149) 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, 117687 + ... + 469545.

It is an arithmetic number, because the mean of its divisors is an integer number (4821185720).

Almost surely, 2103311432144 is an apocalyptic number.

It is an amenable number.

103311432144 is an abundant number, since it is smaller than the sum of its proper divisors (185959711056).

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

103311432144 is a wasteful number, since it uses less digits than its factorization.

103311432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353912 (or 353903 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103311432144 its reverse (441234113301), we get a palindrome (544545545445).

The spelling of 103311432144 in words is "one hundred three billion, three hundred eleven million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2039 4078 6117 8156 12234 16312 18351 24468 32624 36702 48936 73404 97872 146808 293616 351859 703718 1055577 1407436 2111154 2814872 3166731 4222308 5629744 6333462 8444616 12666924 16889232 25333848 50667696 717440501 1434881002 2152321503 2869762004 4304643006 5739524008 6456964509 8609286012 11479048016 12913929018 17218572024 25827858036 34437144048 51655716072 103311432144