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134456306220 = 223252609928621
BaseRepresentation
bin111110100111000111…
…0000110101000101100
3110212001111021001112100
41331032032012220230
54200331303244340
6141433545135100
712466644513525
oct1751616065054
9425044231470
10134456306220
1152028096a35
122208518a490
13c8aa1c0412
14671727d84c
15376e1c0830
hex1f4e386a2c

134456306220 has 72 divisors (see below), whose sum is σ = 407880673200. Its totient is φ = 35852388480.

The previous prime is 134456306213. The next prime is 134456306221. The reversal of 134456306220 is 22603654431.

134456306220 is a `hidden beast` number, since 1 + 34 + 4 + 563 + 0 + 62 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134456306221) 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 23 ways as a sum of consecutive naturals, for example, 4683510 + ... + 4712130.

It is an arithmetic number, because the mean of its divisors is an integer number (5665009350).

Almost surely, 2134456306220 is an apocalyptic number.

134456306220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134456306220 is an abundant number, since it is smaller than the sum of its proper divisors (273424366980).

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

134456306220 is a wasteful number, since it uses less digits than its factorization.

134456306220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54735 (or 54730 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 134456306220 in words is "one hundred thirty-four billion, four hundred fifty-six million, three hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26099 28621 52198 57242 78297 85863 104396 114484 130495 143105 156594 171726 234891 257589 260990 286210 313188 343452 391485 429315 469782 515178 521980 572420 782970 858630 939564 1030356 1174455 1287945 1565940 1717260 2348910 2575890 4697820 5151780 746979479 1493958958 2240938437 2987917916 3734897395 4481876874 6722815311 7469794790 8963753748 11204692185 13445630622 14939589580 22409384370 26891261244 33614076555 44818768740 67228153110 134456306220