Search a number
-
+
420322413339 = 321941122948781
BaseRepresentation
bin1100001110111010010…
…10110000101100011011
31111011220222202221012100
412013131022300230123
523341310014211324
6521032104014443
742236660364333
oct6073512605433
91434828687170
10420322413339
11152292054324
1269565161423
1330836a607aa
14164b52140c3
15ae00aee4c9
hex61dd2b0b1b

420322413339 has 48 divisors (see below), whose sum is σ = 655220311200. Its totient is φ = 258775948800.

The previous prime is 420322413323. The next prime is 420322413373. The reversal of 420322413339 is 933314223024.

420322413339 is a `hidden beast` number, since 4 + 203 + 2 + 2 + 413 + 3 + 39 = 666.

420322413339 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 420322413339 - 24 = 420322413323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420322413319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8592129 + ... + 8640909.

It is an arithmetic number, because the mean of its divisors is an integer number (13650423150).

Almost surely, 2420322413339 is an apocalyptic number.

420322413339 is a deficient number, since it is larger than the sum of its proper divisors (234897897861).

420322413339 is a wasteful number, since it uses less digits than its factorization.

420322413339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50076 (or 50073 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 420322413339 in words is "four hundred twenty billion, three hundred twenty-two million, four hundred thirteen thousand, three hundred thirty-nine".

Divisors: 1 3 9 19 41 57 123 171 369 779 1229 2337 3687 7011 11061 23351 48781 50389 70053 146343 151167 210159 439029 453501 926839 957391 2000021 2780517 2872173 6000063 8341551 8616519 18000189 38000399 59951849 114001197 179855547 342003591 539566641 1139085131 2458025809 3417255393 7374077427 10251766179 22122232281 46702490371 140107471113 420322413339