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438128066340 = 223353132592167
BaseRepresentation
bin1100110000000100111…
…01111011111100100100
31112212212220020211021000
412120002131323330210
524134241241110330
6533135004553300
743440136055166
oct6300235737444
91485786224230
10438128066340
11159899964a28
1270ab4252830
1332413935b43
14172c3cd0936
15b5e3db8560
hex660277bf24

438128066340 has 96 divisors (see below), whose sum is σ = 1367420463360. Its totient is φ = 116460834048.

The previous prime is 438128066279. The next prime is 438128066381. The reversal of 438128066340 is 43660821834.

438128066340 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 2 + 8 + 0 + 6 + 634 + 0 = 666.

438128066340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1127064 + ... + 1465103.

It is an arithmetic number, because the mean of its divisors is an integer number (14243963160).

Almost surely, 2438128066340 is an apocalyptic number.

It is an amenable number.

438128066340 is an abundant number, since it is smaller than the sum of its proper divisors (929292397020).

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

438128066340 is a wasteful number, since it uses less digits than its factorization.

438128066340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592498 (or 2592490 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 438128066340 in words is "four hundred thirty-eight billion, one hundred twenty-eight million, sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 313 540 626 939 1252 1565 1878 2817 3130 3756 4695 5634 6260 8451 9390 11268 14085 16902 18780 28170 33804 42255 56340 84510 169020 2592167 5184334 7776501 10368668 12960835 15553002 23329503 25921670 31106004 38882505 46659006 51843340 69988509 77765010 93318012 116647515 139977018 155530020 233295030 279954036 349942545 466590060 699885090 811348271 1399770180 1622696542 2434044813 3245393084 4056741355 4868089626 7302134439 8113482710 9736179252 12170224065 14604268878 16226965420 21906403317 24340448130 29208537756 36510672195 43812806634 48680896260 73021344390 87625613268 109532016585 146042688780 219064033170 438128066340