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72400341540 = 223517531339259
BaseRepresentation
bin100001101101101100…
…1011000101000100100
320220212201000102110010
41003123121120220210
52141233441412130
653132114330220
75142101514642
oct1033331305044
9226781012403
1072400341540
112878311820a
1212046889970
136a9a8228a7
14370b724192
151d3b2030b0
hex10db658a24

72400341540 has 96 divisors (see below), whose sum is σ = 218695800960. Its totient is φ = 17828202496.

The previous prime is 72400341509. The next prime is 72400341569. The reversal of 72400341540 is 4514300427.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72400341498 and 72400341507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615570 + ... + 723689.

It is an arithmetic number, because the mean of its divisors is an integer number (2278081260).

Almost surely, 272400341540 is an apocalyptic number.

It is an amenable number.

72400341540 is an abundant number, since it is smaller than the sum of its proper divisors (146295459420).

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

72400341540 is a wasteful number, since it uses less digits than its factorization.

72400341540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339341 (or 1339339 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 72400341540 its reverse (4514300427), we get a palindrome (76914641967).

The spelling of 72400341540 in words is "seventy-two billion, four hundred million, three hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 255 265 318 340 510 530 636 795 901 1020 1060 1590 1802 2703 3180 3604 4505 5406 9010 10812 13515 18020 27030 54060 1339259 2678518 4017777 5357036 6696295 8035554 13392590 16071108 20088885 22767403 26785180 40177770 45534806 68302209 70980727 80355540 91069612 113837015 136604418 141961454 212942181 227674030 273208836 283922908 341511045 354903635 425884362 455348060 683022090 709807270 851768724 1064710905 1206672359 1366044180 1419614540 2129421810 2413344718 3620017077 4258843620 4826689436 6033361795 7240034154 12066723590 14480068308 18100085385 24133447180 36200170770 72400341540