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134144333472 = 25319920833371
BaseRepresentation
bin111110011101110100…
…0000001011010100000
3110211020202020012101010
41330323220001122200
54144211422132342
6141343002340520
712456136010142
oct1747350013240
9424222205333
10134144333472
1151987a85216
1221bb87ba740
13c85a68cb66
1466c7a70c92
153751ae929c
hex1f3ba016a0

134144333472 has 96 divisors (see below), whose sum is σ = 354173299200. Its totient is φ = 44455530240.

The previous prime is 134144333471. The next prime is 134144333513. The reversal of 134144333472 is 274333441431.

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 134144333472.

It is not an unprimeable number, because it can be changed into a prime (134144333471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39791947 + ... + 39795317.

It is an arithmetic number, because the mean of its divisors is an integer number (3689305200).

Almost surely, 2134144333472 is an apocalyptic number.

134144333472 is a gapful number since it is divisible by the number (12) 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 134144333472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177086649600).

134144333472 is an abundant number, since it is smaller than the sum of its proper divisors (220028965728).

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

134144333472 is a wasteful number, since it uses less digits than its factorization.

134144333472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5658 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The spelling of 134144333472 in words is "one hundred thirty-four billion, one hundred forty-four million, three hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2083 2388 3184 3371 4166 4776 6249 6368 6742 8332 9552 10113 12498 13484 16664 19104 20226 24996 26968 33328 40452 49992 53936 66656 80904 99984 107872 161808 199968 323616 414517 670829 829034 1243551 1341658 1658068 2012487 2487102 2683316 3316136 4024974 4974204 5366632 6632272 7021793 8049948 9948408 10733264 13264544 14043586 16099896 19896816 21065379 21466528 28087172 32199792 39793632 42130758 56174344 64399584 84261516 112348688 168523032 224697376 337046064 674092128 1397336807 2794673614 4192010421 5589347228 8384020842 11178694456 16768041684 22357388912 33536083368 44714777824 67072166736 134144333472