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54310350133134 = 23229413257779131
BaseRepresentation
bin11000101100101000111010…
…01000001001011110001110
321010022000111200101020022100
430112110131020021132032
524104310044113230014
6311301455211455530
714303536051142064
oct1426243510113616
9233260450336270
1054310350133134
1116339987867197
1261118624575a6
13243c5a0739434
14d5a8c6512034
15642b0bc9a009
hex31651d20978e

54310350133134 has 96 divisors (see below), whose sum is σ = 124737568431840. Its totient is φ = 17047613721600.

The previous prime is 54310350133111. The next prime is 54310350133153. The reversal of 54310350133134 is 43133105301345.

It is a happy number.

54310350133134 is a `hidden beast` number, since 5 + 4 + 3 + 10 + 3 + 501 + 3 + 3 + 134 = 666.

It is a super-2 number, since 2×543103501331342 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69316749 + ... + 70095879.

It is an arithmetic number, because the mean of its divisors is an integer number (1299349671165).

Almost surely, 254310350133134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54310350133134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62368784215920).

54310350133134 is an abundant number, since it is smaller than the sum of its proper divisors (70427218298706).

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

54310350133134 is a wasteful number, since it uses less digits than its factorization.

54310350133134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782466 (or 782463 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 54310350133134 its reverse (43133105301345), we get a palindrome (97443455434479).

The spelling of 54310350133134 in words is "fifty-four trillion, three hundred ten billion, three hundred fifty million, one hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3257 3567 6514 7134 9771 10701 19542 21402 29313 58626 94453 133537 188906 267074 283359 400611 566718 779131 801222 850077 1201833 1558262 1700154 2337393 2403666 3872573 4674786 7012179 7745146 11617719 14024358 22594799 23235438 31944371 34853157 45189598 63888742 67784397 69706314 95833113 135568794 191666226 203353191 287499339 406706382 574998678 926386759 1852773518 2537629667 2779160277 5075259334 5558320554 7612889001 8337480831 15225778002 16674961662 22838667003 45677334006 73591260343 104042816347 147182520686 208085632694 220773781029 312128449041 441547562058 624256898082 662321343087 936385347123 1324642686174 1872770694246 3017241674063 6034483348126 9051725022189 18103450044378 27155175066567 54310350133134