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134333420172 = 223747233146033
BaseRepresentation
bin111110100011011100…
…1010101001010001100
3110211201221000210120020
41331012321111022030
54200103323421142
6141413435222140
712463623142260
oct1750671251214
9424657023506
10134333420172
1151a74793916
122204bba7950
13c88a8c5993
146704c120a0
1537634e9cec
hex1f46e5528c

134333420172 has 96 divisors (see below), whose sum is σ = 367416870912. Its totient is φ = 37402884096.

The previous prime is 134333420167. The next prime is 134333420173. The reversal of 134333420172 is 271024333431.

It is not an unprimeable number, because it can be changed into a prime (134333420173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846868 + ... + 992900.

It is an arithmetic number, because the mean of its divisors is an integer number (3827259072).

Almost surely, 2134333420172 is an apocalyptic number.

134333420172 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 134333420172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183708435456).

134333420172 is an abundant number, since it is smaller than the sum of its proper divisors (233083450740).

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

134333420172 is a wasteful number, since it uses less digits than its factorization.

134333420172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146327 (or 146325 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The spelling of 134333420172 in words is "one hundred thirty-four billion, three hundred thirty-three million, four hundred twenty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 233 282 329 466 564 658 699 932 987 1316 1398 1631 1974 2796 3262 3948 4893 6524 9786 10951 19572 21902 32853 43804 65706 76657 131412 146033 153314 229971 292066 306628 438099 459942 584132 876198 919884 1022231 1752396 2044462 3066693 4088924 6133386 6863551 12266772 13727102 20590653 27454204 34025689 41181306 48044857 68051378 82362612 96089714 102077067 136102756 144134571 192179428 204154134 238179823 288269142 408308268 476359646 576538284 714539469 952719292 1429078938 1599207383 2858157876 3198414766 4797622149 6396829532 9595244298 11194451681 19190488596 22388903362 33583355043 44777806724 67166710086 134333420172