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413673376314 = 231123715399947
BaseRepresentation
bin1100000010100001101…
…10101100101000111010
31110112202121102212002210
412001100312230220322
523234200341020224
6514012224035550
741613132452622
oct6012066545072
91415677385083
10413673376314
1114a48a922400
126820a462bb6
133001738a163
1416044135882
15ab6200e429
hex6050daca3a

413673376314 has 48 divisors (see below), whose sum is σ = 933976046304. Its totient is φ = 121967572320.

The previous prime is 413673376301. The next prime is 413673376331.

413673376314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4136733763142 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7673112 + ... + 7726835.

It is an arithmetic number, because the mean of its divisors is an integer number (19457834298).

Almost surely, 2413673376314 is an apocalyptic number.

413673376314 is an abundant number, since it is smaller than the sum of its proper divisors (520302669990).

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

413673376314 is a wasteful number, since it uses less digits than its factorization.

413673376314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15400011 (or 15400000 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

It can be divided in two parts, 413673 and 376314, that added together give a palindrome (789987).

The spelling of 413673376314 in words is "four hundred thirteen billion, six hundred seventy-three million, three hundred seventy-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8954 13431 26862 15399947 30799894 46199841 92399682 169399417 338798834 508198251 569798039 1016396502 1139596078 1709394117 1863393587 3418788234 3726787174 5590180761 6267778429 11180361522 12535556858 18803335287 37606670574 68945562719 137891125438 206836688157 413673376314