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134081347392 = 2632533343649
BaseRepresentation
bin111110011011111011…
…1101111111101000000
3110211002100201011201100
41330313313233331000
54144044311104032
6141332432334400
712454442435226
oct1746767577500
9424070634640
10134081347392
1151955474903
1221b9b6a4400
13c84a6089a5
1466bd556b16
15374b30697c
hex1f37deff40

134081347392 has 84 divisors (see below), whose sum is σ = 384400844100. Its totient is φ = 44684378112.

The previous prime is 134081347391. The next prime is 134081347459. The reversal of 134081347392 is 293743180431.

134081347392 is a `hidden beast` number, since 13 + 4 + 0 + 81 + 3 + 473 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111753815616 + 22327531776 = 334296^2 + 149424^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134081347391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3049984 + ... + 3093632.

It is an arithmetic number, because the mean of its divisors is an integer number (4576200525).

Almost surely, 2134081347392 is an apocalyptic number.

134081347392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134081347392 is an abundant number, since it is smaller than the sum of its proper divisors (250319496708).

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

134081347392 is a wasteful number, since it uses less digits than its factorization.

134081347392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49000 (or 48987 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134081347392 in words is "one hundred thirty-four billion, eighty-one million, three hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5333 10666 15999 21332 31998 42664 43649 47997 63996 85328 87298 95994 127992 130947 170656 174596 191988 255984 261894 341312 349192 383976 392841 511968 523788 698384 767952 785682 1023936 1047576 1396768 1535904 1571364 2095152 2793536 3071808 3142728 4190304 6285456 8380608 12570912 25141824 232780117 465560234 698340351 931120468 1396680702 1862240936 2095021053 2793361404 3724481872 4190042106 5586722808 7448963744 8380084212 11173445616 14897927488 16760168424 22346891232 33520336848 44693782464 67040673696 134081347392