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2413031029984 = 252310331830823
BaseRepresentation
bin100011000111010011110…
…110110111110011100000
322112200110021121010120001
4203013103312313303200
5304013341420424414
65044310421225344
7336223105222111
oct43072366676340
98480407533501
102413031029984
118503a7121953
1232b7b3262254
1314671781a133
1484b11578208
1542b7d907074
hex231d3db7ce0

2413031029984 has 48 divisors (see below), whose sum is σ = 5005333412352. Its totient is φ = 1142853833088.

The previous prime is 2413031029949. The next prime is 2413031029987. The reversal of 2413031029984 is 4899201303142.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413031029987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15839604 + ... + 15991219.

It is an arithmetic number, because the mean of its divisors is an integer number (104277779424).

Almost surely, 22413031029984 is an apocalyptic number.

It is an amenable number.

2413031029984 is an abundant number, since it is smaller than the sum of its proper divisors (2592302382368).

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

2413031029984 is a wasteful number, since it uses less digits than its factorization.

2413031029984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31830959 (or 31830951 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 2413031029984 in words is "two trillion, four hundred thirteen billion, thirty-one million, twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 92 103 184 206 368 412 736 824 1648 2369 3296 4738 9476 18952 37904 75808 31830823 63661646 127323292 254646584 509293168 732108929 1018586336 1464217858 2928435716 3278574769 5856871432 6557149538 11713742864 13114299076 23427485728 26228598152 52457196304 75407219687 104914392608 150814439374 301628878748 603257757496 1206515514992 2413031029984