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134144333480 = 23553193327853
BaseRepresentation
bin111110011101110100…
…0000001011010101000
3110211020202020012101102
41330323220001122220
54144211422132410
6141343002340532
712456136010153
oct1747350013250
9424222205342
10134144333480
1151987a85223
1221bb87ba748
13c85a68cb71
1466c7a70c9a
153751ae92a5
hex1f3ba016a8

134144333480 has 64 divisors (see below), whose sum is σ = 309113865360. Its totient is φ = 52372389888.

The previous prime is 134144333471. The next prime is 134144333513. The reversal of 134144333480 is 84333441431.

It can be written as a sum of positive squares in 8 ways, for example, as 15258672676 + 118885660804 = 123526^2 + 344798^2 .

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, 245234 + ... + 573086.

Almost surely, 2134144333480 is an apocalyptic number.

134144333480 is a gapful number since it is divisible by the number (10) 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 134144333480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154556932680).

134144333480 is an abundant number, since it is smaller than the sum of its proper divisors (174969531880).

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

134144333480 is a wasteful number, since it uses less digits than its factorization.

134144333480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328110 (or 328106 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 134144333480 in words is "one hundred thirty-four billion, one hundred forty-four million, three hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 193 212 265 386 424 530 772 965 1060 1544 1930 2120 3860 7720 10229 20458 40916 51145 81832 102290 204580 327853 409160 655706 1311412 1639265 2622824 3278530 6557060 13114120 17376209 34752418 63275629 69504836 86881045 126551258 139009672 173762090 253102516 316378145 347524180 506205032 632756290 695048360 1265512580 2531025160 3353608337 6707216674 13414433348 16768041685 26828866696 33536083370 67072166740 134144333480