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74144256336 = 2433414186103
BaseRepresentation
bin100010100001101010…
…1111001000101010000
321002101020111110211000
41011003111321011100
52203321412200321
654021132422000
75233235531433
oct1050325710520
9232336443730
1074144256336
1129498555207
1212452917900
136cb7c06837
14383519b81a
151dde37d826
hex1143579150

74144256336 has 80 divisors (see below), whose sum is σ = 218012296320. Its totient is φ = 24111947520.

The previous prime is 74144256323. The next prime is 74144256353. The reversal of 74144256336 is 63365244147.

74144256336 is a `hidden beast` number, since 7 + 4 + 1 + 4 + 4 + 2 + 5 + 633 + 6 = 666.

It is a super-2 number, since 2×741442563362 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 74144256291 and 74144256300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2075340 + ... + 2110763.

It is an arithmetic number, because the mean of its divisors is an integer number (2725153704).

Almost surely, 274144256336 is an apocalyptic number.

It is an amenable number.

74144256336 is an abundant number, since it is smaller than the sum of its proper divisors (143868039984).

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

74144256336 is a wasteful number, since it uses less digits than its factorization.

74144256336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186161 (or 4186149 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 74144256336 in words is "seventy-four billion, one hundred forty-four million, two hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 17712 4186103 8372206 12558309 16744412 25116618 33488824 37674927 50233236 66977648 75349854 100466472 113024781 150699708 171630223 200932944 226049562 301399416 343260446 452099124 514890669 602798832 686520892 904198248 1029781338 1373041784 1544672007 1808396496 2059562676 2746083568 3089344014 4119125352 4634016021 6178688028 8238250704 9268032042 12357376056 18536064084 24714752112 37072128168 74144256336