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116541254313144 = 233231511971019861
BaseRepresentation
bin11010011111111001100000…
…000100001010010010111000
3120021122020100101120021220200
4122133321200010022102320
5110233402442101010034
61051510151345122200
733355553632010013
oct3237714004122270
9507566311507820
10116541254313144
1134151960921111
12110a2586329360
135004a406613ab
1420ac8abd4c37a
15d7178ae7da99
hex69fe6010a4b8

116541254313144 has 96 divisors (see below), whose sum is σ = 325820942778240. Its totient is φ = 37593181843200.

The previous prime is 116541254313119. The next prime is 116541254313163. The reversal of 116541254313144 is 441313452145611.

116541254313144 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 41 + 254 + 313 + 1 + 44 = 666.

It is a super-2 number, since 2×1165412543131442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116541254313144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113761774 + ... + 114781634.

It is an arithmetic number, because the mean of its divisors is an integer number (3393968153940).

Almost surely, 2116541254313144 is an apocalyptic number.

It is an amenable number.

116541254313144 is an abundant number, since it is smaller than the sum of its proper divisors (209279688465096).

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

116541254313144 is a wasteful number, since it uses less digits than its factorization.

116541254313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071101 (or 1071094 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 116541254313144 in words is "one hundred sixteen trillion, five hundred forty-one billion, two hundred fifty-four million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 51197 102394 153591 204788 307182 409576 460773 614364 921546 1019861 1228728 1587107 1843092 2039722 3059583 3174214 3686184 4079444 4761321 6119166 6348428 8158888 9178749 9522642 12238332 12696856 14283963 18357498 19045284 24476664 28567926 31615691 36714996 38090568 57135852 63231382 73429992 94847073 114271704 126462764 189694146 252925528 284541219 379388292 569082438 758776584 1138164876 2276329752 52213823617 104427647234 156641470851 208855294468 313282941702 417710588936 469924412553 626565883404 939848825106 1253131766808 1618628532127 1879697650212 3237257064254 3759395300424 4855885596381 6474514128508 9711771192762 12949028257016 14567656789143 19423542385524 29135313578286 38847084771048 58270627156572 116541254313144