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132042457344 = 283724561469
BaseRepresentation
bin111101011111001011…
…0000000000100000000
3110121211021011211101010
41322332112000010000
54130410332113334
6140354240040520
712353064240330
oct1727626000400
9417737154333
10132042457344
1150aa9585606
1221710903140
13c5b4096085
1465688570c0
15367c3110e9
hex1ebe580100

132042457344 has 72 divisors (see below), whose sum is σ = 401629157440. Its totient is φ = 37726414848.

The previous prime is 132042457333. The next prime is 132042457367. The reversal of 132042457344 is 443754240231.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12275359 + ... + 12286110.

Almost surely, 2132042457344 is an apocalyptic number.

132042457344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132042457344 is an abundant number, since it is smaller than the sum of its proper divisors (269586700096).

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

132042457344 is an equidigital number, since it uses as much as digits as its factorization.

132042457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24561495 (or 24561481 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

Adding to 132042457344 its reverse (443754240231), we get a palindrome (575796697575).

The spelling of 132042457344 in words is "one hundred thirty-two billion, forty-two million, four hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 24561469 49122938 73684407 98245876 147368814 171930283 196491752 294737628 343860566 392983504 515790849 589475256 687721132 785967008 1031581698 1178950512 1375442264 1571934016 2063163396 2357901024 2750884528 3143868032 4126326792 4715802048 5501769056 6287736064 8252653584 9431604096 11003538112 16505307168 18863208192 22007076224 33010614336 44014152448 66021228672 132042457344