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114730117008 = 2431334325301
BaseRepresentation
bin110101011011001110…
…0101010011110010000
3101222010201221211001220
41222312130222132100
53334431402221013
6124412320325040
711201055622023
oct1526634523620
9358121854056
10114730117008
1144725184021
121a29aa73780
13aa85474000
1457a54b11ba
152eb74ddb23
hex1ab672a790

114730117008 has 160 divisors (see below), whose sum is σ = 328553554560. Its totient is φ = 34479244800.

The previous prime is 114730116923. The next prime is 114730117013. The reversal of 114730117008 is 800711037411.

It is a super-3 number, since 3×1147301170083 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114730117008.

It is an unprimeable number.

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, 4521958 + ... + 4547258.

It is an arithmetic number, because the mean of its divisors is an integer number (2053459716).

Almost surely, 2114730117008 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 114730117008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164276777280).

114730117008 is an abundant number, since it is smaller than the sum of its proper divisors (213823437552).

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

114730117008 is a wasteful number, since it uses less digits than its factorization.

114730117008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25394 (or 25362 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

The spelling of 114730117008 in words is "one hundred fourteen billion, seven hundred thirty million, one hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 169 172 208 258 312 338 344 507 516 559 624 676 688 1014 1032 1118 1352 1677 2028 2064 2197 2236 2704 3354 4056 4394 4472 6591 6708 7267 8112 8788 8944 13182 13416 14534 17576 21801 25301 26364 26832 29068 35152 43602 50602 52728 58136 75903 87204 94471 101204 105456 116272 151806 174408 188942 202408 283413 303612 328913 348816 377884 404816 566826 607224 657826 755768 986739 1087943 1133652 1214448 1315652 1511536 1973478 2175886 2267304 2631304 3263829 3946956 4275869 4351772 4534608 5262608 6527658 7893912 8551738 8703544 12827607 13055316 14143259 15787824 17103476 17407088 25655214 26110632 28286518 34206952 42429777 51310428 52221264 55586297 56573036 68413904 84859554 102620856 111172594 113146072 166758891 169719108 183862367 205241712 222345188 226292144 333517782 339438216 367724734 444690376 551587101 667035564 678876432 735449468 889380752 1103174202 1334071128 1470898936 2206348404 2390210771 2668142256 2941797872 4412696808 4780421542 7170632313 8825393616 9560843084 14341264626 19121686168 28682529252 38243372336 57365058504 114730117008