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134314014432 = 25313886312143
BaseRepresentation
bin111110100010110111…
…1010011011011100000
3110211200120111212220010
41331011233103123200
54200033341430212
6141411503244520
712463266166623
oct1750557233340
9424616455803
10134314014432
1151a6483a014
12220455a9740
13c88688cbb0
1467023dddba
15376196503c
hex1f45bd36e0

134314014432 has 96 divisors (see below), whose sum is σ = 379769499648. Its totient is φ = 41319323136.

The previous prime is 134314014403. The next prime is 134314014449. The reversal of 134314014432 is 234410413431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 134314014432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11054953 + ... + 11067095.

It is an arithmetic number, because the mean of its divisors is an integer number (3955932288).

Almost surely, 2134314014432 is an apocalyptic number.

134314014432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134314014432 is an abundant number, since it is smaller than the sum of its proper divisors (245455485216).

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

134314014432 is a wasteful number, since it uses less digits than its factorization.

134314014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21032 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 134314014432 its reverse (234410413431), we get a palindrome (368724427863).

The spelling of 134314014432 in words is "one hundred thirty-four billion, three hundred fourteen million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8863 12143 17726 24286 26589 35452 36429 48572 53178 70904 72858 97144 106356 115219 141808 145716 157859 194288 212712 230438 283616 291432 315718 345657 388576 425424 460876 473577 582864 631436 691314 850848 921752 947154 1165728 1262872 1382628 1843504 1894308 2525744 2765256 3687008 3788616 5051488 5530512 7577232 11061024 15154464 107623409 215246818 322870227 430493636 645740454 860987272 1291480908 1399104317 1721974544 2582961816 2798208634 3443949088 4197312951 5165923632 5596417268 8394625902 10331847264 11192834536 16789251804 22385669072 33578503608 44771338144 67157007216 134314014432