Search a number
-
+
123310241515040 = 25523181639184477
BaseRepresentation
bin11100000010011001100111…
…001001001000011000100000
3121011121100021202012012121112
4130002121213021020120200
5112130303333311440130
61114131535400442452
734654604510621216
oct3402314711103040
9534540252165545
10123310241515040
1136321641709aa8
12119b6426479428
1353a614b807238
142264367338cb6
15e3c8b0721495
hex702667248620

123310241515040 has 96 divisors (see below), whose sum is σ = 303989873322240. Its totient is φ = 47179055176704.

The previous prime is 123310241515033. The next prime is 123310241515073. The reversal of 123310241515040 is 40515142013321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 123310241514988 and 123310241515006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668339282 + ... + 668523758.

It is an arithmetic number, because the mean of its divisors is an integer number (3166561180440).

Almost surely, 2123310241515040 is an apocalyptic number.

123310241515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123310241515040 is an abundant number, since it is smaller than the sum of its proper divisors (180679631807200).

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

123310241515040 is a wasteful number, since it uses less digits than its factorization.

123310241515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366154 (or 366146 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 123310241515040 its reverse (40515142013321), we get a palindrome (163825383528361).

The spelling of 123310241515040 in words is "one hundred twenty-three trillion, three hundred ten billion, two hundred forty-one million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 181639 184477 363278 368954 726556 737908 908195 922385 1453112 1475816 1816390 1844770 2906224 2951632 3632780 3689540 4177697 4242971 5812448 5903264 7265560 7379080 8355394 8485942 14531120 14758160 16710788 16971884 20888485 21214855 29062240 29516320 33421576 33943768 41776970 42429710 66843152 67887536 83553940 84859420 133686304 135775072 167107880 169718840 334215760 339437680 668431520 678875360 33508217803 67016435606 134032871212 167541089015 268065742424 335082178030 536131484848 670164356060 770689009469 1072262969696 1340328712120 1541378018938 2680657424240 3082756037876 3853445047345 5361314848480 6165512075752 7706890094690 12331024151504 15413780189380 24662048303008 30827560378760 61655120757520 123310241515040