Search a number
-
+
414502246081 = 71114944838059
BaseRepresentation
bin1100000100000100100…
…00100101011011000001
31110121220101002210200001
412002002100211123001
523242400033333311
6514230353400001
741642515646560
oct6020220453301
91417811083601
10414502246081
1114a875791540
12683bbb69001
133011a00a741
14160c2257bd7
15abaeb8a4c1
hex60824256c1

414502246081 has 32 divisors (see below), whose sum is σ = 520430976000. Its totient is φ = 320709689280.

The previous prime is 414502246079. The next prime is 414502246087. The reversal of 414502246081 is 180642205414.

It is a cyclic number.

It is not a de Polignac number, because 414502246081 - 21 = 414502246079 is a prime.

It is a super-2 number, since 2×4145022460812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414502246081.

It is not an unprimeable number, because it can be changed into a prime (414502246087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51429430 + ... + 51437488.

It is an arithmetic number, because the mean of its divisors is an integer number (16263468000).

Almost surely, 2414502246081 is an apocalyptic number.

It is an amenable number.

414502246081 is a deficient number, since it is larger than the sum of its proper divisors (105928729919).

414502246081 is a wasteful number, since it uses less digits than its factorization.

414502246081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709.

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 414502246081 in words is "four hundred fourteen billion, five hundred two million, two hundred forty-six thousand, eighty-one".

Divisors: 1 7 11 77 149 1043 1639 4483 8059 11473 31381 49313 56413 88649 345191 620543 667967 1200791 4675769 7347637 8405537 13208701 36128497 51433459 92460907 252899479 397413467 2781894269 5383146053 37682022371 59214606583 414502246081