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145563415653344 = 2513714928338829
BaseRepresentation
bin100001000110001110011111…
…101011101010101111100000
3201002101201121201022100112112
4201012032133223222233200
5123034402333401401334
61233330524320214452
742442416065056403
oct4106163753525740
9632351551270475
10145563415653344
1142421109340167
12143ab1b946a428
13632b756bc6560
1427d344222dd3a
1511c6689d8e4ce
hex84639faeabe0

145563415653344 has 48 divisors (see below), whose sum is σ = 312969229060320. Its totient is φ = 66236873848320.

The previous prime is 145563415653329. The next prime is 145563415653349. The reversal of 145563415653344 is 443356514365541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145563415653349) 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, 2464139879 + ... + 2464198950.

It is an arithmetic number, because the mean of its divisors is an integer number (6520192272090).

Almost surely, 2145563415653344 is an apocalyptic number.

It is an amenable number.

145563415653344 is an abundant number, since it is smaller than the sum of its proper divisors (167405813406976).

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

145563415653344 is a wasteful number, since it uses less digits than its factorization.

145563415653344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928338923 (or 4928338915 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 59.

The spelling of 145563415653344 in words is "one hundred forty-five trillion, five hundred sixty-three billion, four hundred fifteen million, six hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 923 1136 1846 2272 3692 7384 14768 29536 4928338829 9856677658 19713355316 39426710632 64068404777 78853421264 128136809554 157706842528 256273619108 349912056859 512547238216 699824113718 1025094476432 1399648227436 2050188952864 2799296454872 4548856739167 5598592909744 9097713478334 11197185819488 18195426956668 36390853913336 72781707826672 145563415653344