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1046148242814 = 232144740165409
BaseRepresentation
bin11110011100100110100…
…10110101110101111110
310201000021212111001120100
433032103102311311332
5114120002422232224
62120332135301530
7135403346226003
oct17162322656576
93630255431510
101046148242814
1137373a456844
1214a900b1a8a6
137786104bcac
14388c33b18aa
151c32cdb9ac9
hexf3934b5d7e

1046148242814 has 24 divisors (see below), whose sum is σ = 2268221033520. Its totient is φ = 348475079808.

The previous prime is 1046148242813. The next prime is 1046148242849. The reversal of 1046148242814 is 4182428416401.

It is a happy number.

1046148242814 is a `hidden beast` number, since 1 + 0 + 4 + 614 + 8 + 2 + 4 + 28 + 1 + 4 = 666.

It is a super-3 number, since 3×10461482428143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1046148242814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046148242813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20056659 + ... + 20108750.

It is an arithmetic number, because the mean of its divisors is an integer number (94509209730).

Almost surely, 21046148242814 is an apocalyptic number.

1046148242814 is an abundant number, since it is smaller than the sum of its proper divisors (1222072790706).

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

1046148242814 is a wasteful number, since it uses less digits than its factorization.

1046148242814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40166864 (or 40166861 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 1046148242814 in words is "one trillion, forty-six billion, one hundred forty-eight million, two hundred forty-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 1447 2894 4341 8682 13023 26046 40165409 80330818 120496227 240992454 361488681 722977362 58119346823 116238693646 174358040469 348716080938 523074121407 1046148242814