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134260346016 = 253529595379
BaseRepresentation
bin111110100001010001…
…0100100110010100000
3110211112211112020200000
41331002202210302200
54144431122033031
6141402305100000
712462045053136
oct1750242446240
9424484466600
10134260346016
1151a37513155
122202b627600
13c87871bb34
1466d922d756
15375bdb33e6
hex1f428a4ca0

134260346016 has 144 divisors (see below), whose sum is σ = 409597624800. Its totient is φ = 43210153728.

The previous prime is 134260346009. The next prime is 134260346071. The reversal of 134260346016 is 610643062431.

134260346016 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 603 + 46 + 0 + 1 + 6 = 666.

134260346016 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72186 + ... + 523193.

It is an arithmetic number, because the mean of its divisors is an integer number (2844427950).

Almost surely, 2134260346016 is an apocalyptic number.

134260346016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134260346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204798812400).

134260346016 is an abundant number, since it is smaller than the sum of its proper divisors (275337278784).

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

134260346016 is an equidigital number, since it uses as much as digits as its factorization.

134260346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595433 (or 595413 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 134260346016 in words is "one hundred thirty-four billion, two hundred sixty million, three hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1044 1296 1392 1566 1944 2088 2349 2592 2784 3132 3888 4176 4698 6264 7047 7776 8352 9396 12528 14094 18792 25056 28188 37584 56376 75168 112752 225504 595379 1190758 1786137 2381516 3572274 4763032 5358411 7144548 9526064 10716822 14289096 16075233 17265991 19052128 21433644 28578192 32150466 34531982 42867288 48225699 51797973 57156384 64300932 69063964 85734576 96451398 103595946 128601864 138127928 144677097 155393919 171469152 192902796 207191892 257203728 276255856 289354194 310787838 385805592 414383784 466181757 514407456 552511712 578708388 621575676 771611184 828767568 932363514 1157416776 1243151352 1398545271 1543222368 1657535136 1864727028 2314833552 2486302704 2797090542 3729454056 4195635813 4629667104 4972605408 5594181084 7458908112 8391271626 11188362168 14917816224 16782543252 22376724336 33565086504 44753448672 67130173008 134260346016