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107442285312 = 283791770871
BaseRepresentation
bin110010000010000001…
…1110010101100000000
3101021022211121121102110
41210010003302230000
53230020211112222
6121205221015320
710522343233215
oct1440403625400
9337284547373
10107442285312
114162540721a
12189a6254540
13a193640a6b
1452b362bb0c
152bdc7bb30c
hex19040f2b00

107442285312 has 72 divisors (see below), whose sum is σ = 289572989440. Its totient is φ = 35360732160.

The previous prime is 107442285311. The next prime is 107442285317. The reversal of 107442285312 is 213582244701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107442285311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824764 + ... + 946107.

Almost surely, 2107442285312 is an apocalyptic number.

107442285312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107442285312 is an abundant number, since it is smaller than the sum of its proper divisors (182130704128).

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

107442285312 is an equidigital number, since it uses as much as digits as its factorization.

107442285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770969 (or 1770955 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 107442285312 in words is "one hundred seven billion, four hundred forty-two million, two hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 10112 15168 20224 30336 60672 1770871 3541742 5312613 7083484 10625226 14166968 21250452 28333936 42500904 56667872 85001808 113335744 139898809 170003616 226671488 279797618 340007232 419696427 453342976 559595236 680014464 839392854 1119190472 1360028928 1678785708 2238380944 3357571416 4476761888 6715142832 8953523776 13430285664 17907047552 26860571328 35814095104 53721142656 107442285312