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134321533344 = 25323712605249
BaseRepresentation
bin111110100011000101…
…1111111000110100000
3110211201002122212220100
41331012023333012200
54200042303031334
6141412332342400
712463420123635
oct1750613770640
9424632585810
10134321533344
1151a69005099
1222048014a00
13c8882c335b
1467033da18c
15376244cc99
hex1f462ff1a0

134321533344 has 72 divisors (see below), whose sum is σ = 392300590500. Its totient is φ = 43563737088.

The previous prime is 134321533337. The next prime is 134321533399. The reversal of 134321533344 is 443335123431.

134321533344 is a `hidden beast` number, since 1 + 3 + 432 + 153 + 33 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131899712400 + 2421820944 = 363180^2 + 49212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134321533299 and 134321533308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6291969 + ... + 6313280.

Almost surely, 2134321533344 is an apocalyptic number.

It is an amenable number.

134321533344 is an abundant number, since it is smaller than the sum of its proper divisors (257979057156).

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

134321533344 is a wasteful number, since it uses less digits than its factorization.

134321533344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12605302 (or 12605291 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Adding to 134321533344 its reverse (443335123431), we get a palindrome (577656656775).

The spelling of 134321533344 in words is "one hundred thirty-four billion, three hundred twenty-one million, five hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 12605249 25210498 37815747 50420996 75631494 100841992 113447241 151262988 201683984 226894482 302525976 403367968 453788964 466394213 605051952 907577928 932788426 1210103904 1399182639 1815155856 1865576852 2798365278 3630311712 3731153704 4197547917 5596730556 7462307408 8395095834 11193461112 14924614816 16790191668 22386922224 33580383336 44773844448 67160766672 134321533344