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134440500063024 = 24336133611517917
BaseRepresentation
bin11110100100010111011110…
…001111111110101100110000
3122122000101102121021201201000
4132210113132033332230300
5120110133121004004044
61153533040233042000
740214001630365241
oct3644273617765460
9578011377251630
10134440500063024
1139922994479a61
12130b3577556300
135a028b954918c
14252ad5243ccc8
15108218c7b0d69
hex7a45de3feb30

134440500063024 has 160 divisors (see below), whose sum is σ = 392337115494080. Its totient is φ = 44065708646400.

The previous prime is 134440500063017. The next prime is 134440500063157. The reversal of 134440500063024 is 420360005044431.

134440500063024 is a `hidden beast` number, since 1 + 34 + 4 + 40 + 500 + 0 + 63 + 0 + 24 = 666.

It is a super-2 number, since 2×1344405000630242 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134440500063024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87810114 + ... + 89328030.

It is an arithmetic number, because the mean of its divisors is an integer number (2452106971838).

Almost surely, 2134440500063024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134440500063024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196168557747040).

134440500063024 is an abundant number, since it is smaller than the sum of its proper divisors (257896615431056).

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

134440500063024 is a wasteful number, since it uses less digits than its factorization.

134440500063024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521356 (or 1521344 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 134440500063024 in words is "one hundred thirty-four trillion, four hundred forty billion, five hundred million, sixty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 3361 4392 6588 6722 8784 10083 13176 13444 20166 26352 26888 30249 40332 53776 60498 80664 90747 120996 161328 181494 205021 241992 362988 410042 483984 615063 725976 820084 1230126 1451952 1517917 1640168 1845189 2460252 3035834 3280336 3690378 4553751 4920504 5535567 6071668 7380756 9107502 9841008 11071134 12143336 13661253 14761512 18215004 22142268 24286672 27322506 29523024 36430008 40983759 44284536 54645012 72860016 81967518 88569072 92592937 109290024 163935036 185185874 218580048 277778811 327870072 370371748 555557622 655740144 740743496 833336433 1111115244 1481486992 1666672866 2222230488 2500009299 3333345732 4444460976 5000018598 5101719037 6666691464 10000037196 10203438074 13333382928 15305157111 20000074392 20406876148 30610314222 40000148784 40813752296 45915471333 61220628444 81627504592 91830942666 122441256888 137746413999 183661885332 244882513776 275492827998 311204861257 367323770664 550985655996 622409722514 734647541328 933614583771 1101971311992 1244819445028 1867229167542 2203942623984 2489638890056 2800843751313 3734458335084 4979277780112 5601687502626 7468916670168 8402531253939 11203375005252 14937833340336 16805062507878 22406750010504 33610125015756 44813500021008 67220250031512 134440500063024