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422011312020432 = 24324057722364829
BaseRepresentation
bin101111111110100010010101…
…0010110000001101111010000
32001100012212221221010122120100
41133331010222112001233100
5420303213131334123212
64053313153110012400
7154614211502030601
oct13775045226015720
92040185857118510
10422011312020432
11112513aa0906932
123b3b8752647100
131516265a839664
14762d656847da8
1533bc739116bdc
hex17fd12a581bd0

422011312020432 has 60 divisors (see below), whose sum is σ = 1181336661496420. Its totient is φ = 140635763633664.

The previous prime is 422011312020383. The next prime is 422011312020481. The reversal of 422011312020432 is 234020213110224.

422011312020432 is a `hidden beast` number, since 4 + 2 + 20 + 1 + 1 + 3 + 1 + 202 + 0 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (422011312020383) and next prime (422011312020481).

It can be written as a sum of positive squares in 2 ways, for example, as 224087606837136 + 197923705183296 = 14969556^2 + 14068536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 422011312020396 and 422011312020405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360598207 + ... + 361766622.

Almost surely, 2422011312020432 is an apocalyptic number.

It is an amenable number.

422011312020432 is an abundant number, since it is smaller than the sum of its proper divisors (759325349475988).

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

422011312020432 is a wasteful number, since it uses less digits than its factorization.

422011312020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722368900 (or 722368891 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 422011312020432 its reverse (234020213110224), we get a palindrome (656031525130656).

The spelling of 422011312020432 in words is "four hundred twenty-two trillion, eleven billion, three hundred twelve million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4057 8114 12171 16228 24342 32456 36513 48684 64912 73026 97368 146052 194736 292104 584208 722364829 1444729658 2167094487 2889459316 4334188974 5778918632 6501283461 8668377948 11557837264 13002566922 17336755896 26005133844 34673511792 52010267688 104020535376 2930634111253 5861268222506 8791902333759 11722536445012 17583804667518 23445072890024 26375707001277 35167609335036 46890145780048 52751414002554 70335218670072 105502828005108 140670437340144 211005656010216 422011312020432