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134430755904 = 2632152772
BaseRepresentation
bin111110100110010110…
…0101000110001000000
3110211222201011222002100
41331030230220301000
54200303233142104
6141431233350400
712466214400024
oct1751454506100
9424881158070
10134430755904
1152014725675
1222078708400
13c8a4b158a3
146713b0c384
15376bd25139
hex1f4cb28c40

134430755904 has 63 divisors (see below), whose sum is σ = 385346713557. Its totient is φ = 44807318784.

The previous prime is 134430755881. The next prime is 134430755939. The reversal of 134430755904 is 409557034431.

The square root of 134430755904 is 366648.

It is a perfect power (a square), and thus also a powerful number.

134430755904 is a `hidden beast` number, since 13 + 4 + 43 + 0 + 7 + 5 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10774440000 + 123656315904 = 103800^2 + 351648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134430755904.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8791914 + ... + 8807190.

Almost surely, 2134430755904 is an apocalyptic number.

134430755904 is the 366648-th square number.

It is an amenable number.

134430755904 is an abundant number, since it is smaller than the sum of its proper divisors (250915957653).

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

134430755904 is an frugal number, since it uses more digits than its factorization.

134430755904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30572 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 134430755904 in words is "one hundred thirty-four billion, four hundred thirty million, seven hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 15277 30554 45831 61108 91662 122216 137493 183324 244432 274986 366648 488864 549972 733296 977728 1099944 1466592 2199888 2933184 4399776 8799552 233386729 466773458 700160187 933546916 1400320374 1867093832 2100480561 2800640748 3734187664 4200961122 5601281496 7468375328 8401922244 11202562992 14936750656 16803844488 22405125984 33607688976 44810251968 67215377952 134430755904