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147312157273434 = 2354321491100219
BaseRepresentation
bin100001011111101011001000…
…110011100010110101011010
3201022120220102112012000200000
4201133223020303202311122
5123302030244230222214
61241150134254153430
743012644404430546
oct4137531063426532
9638526375160600
10147312157273434
1142a3580a3a72aa
12146320bb4b2876
136427627776b3a
142853d37102a26
151206dd9834809
hex85fac8ce2d5a

147312157273434 has 144 divisors (see below), whose sum is σ = 341148956148000. Its totient is φ = 47640161143008.

The previous prime is 147312157273361. The next prime is 147312157273451. The reversal of 147312157273434 is 434372751213741.

147312157273434 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 1 + 2 + 1 + 572 + 7 + 34 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133343377 + ... + 134443595.

It is an arithmetic number, because the mean of its divisors is an integer number (2369089973250).

Almost surely, 2147312157273434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147312157273434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170574478074000).

147312157273434 is an abundant number, since it is smaller than the sum of its proper divisors (193836798874566).

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

147312157273434 is a wasteful number, since it uses less digits than its factorization.

147312157273434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100471 (or 1100416 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 147312157273434 in words is "one hundred forty-seven trillion, three hundred twelve billion, one hundred fifty-seven million, two hundred seventy-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 149 162 243 258 298 387 447 486 774 894 1161 1341 1849 2322 2682 3483 3698 4023 5547 6407 6966 8046 10449 11094 12069 12814 16641 19221 20898 24138 33282 36207 38442 49923 57663 72414 99846 115326 149769 172989 275501 299538 345978 449307 518967 551002 826503 898614 1037934 1100219 1556901 1653006 2200438 2479509 3113802 3300657 4959018 6601314 7438527 9901971 14877054 19803942 22315581 29705913 44631162 47309417 59411826 66946743 89117739 94618834 133893486 141928251 163932631 178235478 267353217 283856502 327865262 425784753 491797893 534706434 851569506 983595786 1277354259 1475393679 2034304931 2554708518 2950787358 3832062777 4068609862 4426181037 6102914793 7049103133 7664125554 8852362074 11496188331 12205829586 13278543111 14098206266 18308744379 21147309399 22992376662 26557086222 36617488758 39835629333 42294618798 54926233137 63441928197 79671258666 109852466274 126883856394 164778699411 190325784591 303111434719 329557398822 380651569182 494336098233 570977353773 606222869438 909334304157 988672196466 1141954707546 1712932061319 1818668608314 2728002912471 3425864122638 5456005824942 8184008737413 16368017474826 24552026212239 49104052424478 73656078636717 147312157273434