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145349126832 = 24371333275899
BaseRepresentation
bin1000011101011101111…
…0111010101010110000
3111220011122000200021210
42013113132322222300
54340133334024312
6150434504120120
713333613123160
oct2072736725260
9456148020253
10145349126832
115670787a318
1224205166040
1310924b5c4c0
14706bc105a0
153baa63ce3c
hex21d77baab0

145349126832 has 80 divisors (see below), whose sum is σ = 462135699200. Its totient is φ = 38333834496.

The previous prime is 145349126827. The next prime is 145349126833. The reversal of 145349126832 is 238621943541.

It is a super-2 number, since 2×1453491268322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (145349126833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16633582 + ... + 16642317.

It is an arithmetic number, because the mean of its divisors is an integer number (5776696240).

Almost surely, 2145349126832 is an apocalyptic number.

145349126832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145349126832 is an abundant number, since it is smaller than the sum of its proper divisors (316786572368).

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

145349126832 is a wasteful number, since it uses less digits than its factorization.

145349126832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33275930 (or 33275924 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 145349126832 in words is "one hundred forty-five billion, three hundred forty-nine million, one hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 33275899 66551798 99827697 133103596 199655394 232931293 266207192 399310788 432586687 465862586 532414384 698793879 798621576 865173374 931725172 1297760061 1397587758 1597243152 1730346748 1863450344 2595520122 2795175516 3028106809 3460693496 3726900688 5191040244 5590351032 6056213618 6921386992 9084320427 10382080488 11180702064 12112427236 18168640854 20764160976 24224854472 36337281708 48449708944 72674563416 145349126832