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114012424325344 = 2559349577299881
BaseRepresentation
bin11001111011000110010110…
…000011010100100011100000
3112221200110222212210121100011
4121323012112003110203200
5104420434421111402334
61042252330142134304
733005061105533566
oct3173062603244340
9487613885717304
10114012424325344
1133367441263336
1210954456281394
134b8043010c09c
142022333395a36
15d2aad1309564
hex67b1960d48e0

114012424325344 has 96 divisors (see below), whose sum is σ = 229317966108000. Its totient is φ = 55782401310720.

The previous prime is 114012424325281. The next prime is 114012424325381. The reversal of 114012424325344 is 443523424210411.

It is a junction number, because it is equal to n+sod(n) for n = 114012424325297 and 114012424325306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380042284 + ... + 380342164.

It is an arithmetic number, because the mean of its divisors is an integer number (2388728813625).

Almost surely, 2114012424325344 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 114012424325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114658983054000).

114012424325344 is an abundant number, since it is smaller than the sum of its proper divisors (115305541782656).

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

114012424325344 is a wasteful number, since it uses less digits than its factorization.

114012424325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300876 (or 300868 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 114012424325344 its reverse (443523424210411), we get a palindrome (557535848535755).

The spelling of 114012424325344 in words is "one hundred fourteen trillion, twelve billion, four hundred twenty-four million, three hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 59 118 236 349 472 577 698 944 1154 1396 1888 2308 2792 4616 5584 9232 11168 18464 20591 34043 41182 68086 82364 136172 164728 201373 272344 299881 329456 402746 544688 599762 658912 805492 1089376 1199524 1610984 2399048 3221968 4798096 6443936 9596192 11881007 17692979 23762014 35385958 47524028 70771916 95048056 104658469 141543832 173031337 190096112 209316938 283087664 346062674 380192224 418633876 566175328 692125348 837267752 1384250696 1674535504 2768501392 3349071008 5537002784 6174849671 10208848883 12349699342 20417697766 24699398684 40835395532 49398797368 60387936613 81670791064 98797594736 120775873226 163341582128 197595189472 241551746452 326683164256 483103492904 966206985808 1932413971616 3562888260167 7125776520334 14251553040668 28503106081336 57006212162672 114012424325344