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124442451225440 = 2557156691932341
BaseRepresentation
bin11100010010111000000100…
…000110011010101101100000
3121022121120201101111210112022
4130102320010012122231200
5112302331120003203230
61120400023424121012
735132445643436045
oct3422700406325540
9538546641453468
10124442451225440
1136718824566167
1211b59945166168
135458b466c8a3a
1422a30924d51cc
15e5c078cd51e5
hex712e0419ab60

124442451225440 has 96 divisors (see below), whose sum is σ = 298188814674240. Its totient is φ = 49067213977600.

The previous prime is 124442451225431. The next prime is 124442451225451. The reversal of 124442451225440 is 44522154244421.

It is a junction number, because it is equal to n+sod(n) for n = 124442451225391 and 124442451225400.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 63433670 + ... + 65366010.

It is an arithmetic number, because the mean of its divisors is an integer number (3106133486190).

Almost surely, 2124442451225440 is an apocalyptic number.

124442451225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124442451225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149094407337120).

124442451225440 is an abundant number, since it is smaller than the sum of its proper divisors (173746363448800).

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

124442451225440 is a wasteful number, since it uses less digits than its factorization.

124442451225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938096 (or 1938088 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 44.

The spelling of 124442451225440 in words is "one hundred twenty-four trillion, four hundred forty-two billion, four hundred fifty-one million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5669 5680 11338 11360 22676 28345 45352 56690 90704 113380 181408 226760 402499 453520 804998 907040 1609996 1932341 2012495 3219992 3864682 4024990 6439984 7729364 8049980 9661705 12879968 15458728 16099960 19323410 30917456 32199920 38646820 61834912 64399840 77293640 137196211 154587280 274392422 309174560 548784844 685981055 1097569688 1371962110 2195139376 2743924220 4390278752 5487848440 10954441129 10975696880 21908882258 21951393760 43817764516 54772205645 87635529032 109544411290 175271058064 219088822580 350542116128 438177645160 777765320159 876355290320 1555530640318 1752710580640 3111061280636 3888826600795 6222122561272 7777653201590 12444245122544 15555306403180 24888490245088 31110612806360 62221225612720 124442451225440