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642441412422 = 23441228742293
BaseRepresentation
bin10010101100101000111…
…11011111111101000110
32021102020211212012020000
421112110133133331012
541011210000144142
61211044501022130
764262203622205
oct11262437377506
92242224765200
10642441412422
11228504479957
12a46143b4946
13487747680b4
1423146bb123c
1511aa0d5b14c
hex95947dff46

642441412422 has 80 divisors (see below), whose sum is σ = 1475335173312. Its totient is φ = 208827745920.

The previous prime is 642441412373. The next prime is 642441412427. The reversal of 642441412422 is 224214144246.

642441412422 is a `hidden beast` number, since 642 + 4 + 4 + 1 + 4 + 1 + 2 + 4 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642441412427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15169108 + ... + 15211400.

Almost surely, 2642441412422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642441412422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737667586656).

642441412422 is an abundant number, since it is smaller than the sum of its proper divisors (832893760890).

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

642441412422 is a wasteful number, since it uses less digits than its factorization.

642441412422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44635 (or 44626 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 642441412422 its reverse (224214144246), we get a palindrome (866655556668).

The spelling of 642441412422 in words is "six hundred forty-two billion, four hundred forty-one million, four hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 2287 3321 4574 6642 6861 13722 20583 41166 42293 61749 84586 93767 123498 126879 185247 187534 253758 281301 370494 380637 562602 761274 843903 1141911 1687806 1734013 2283822 2531709 3425733 3468026 5063418 5202039 6851466 7595127 10404078 15190254 15606117 31212234 46818351 93636702 96724091 140455053 193448182 280910106 290172273 580344546 870516819 1741033638 2611550457 3965687731 5223100914 7834651371 7931375462 11897063193 15669302742 23794126386 35691189579 71382379158 107073568737 214147137474 321220706211 642441412422