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42204411432 = 23321973297097
BaseRepresentation
bin100111010011100101…
…000011011000101000
311000221022001020111100
4213103211003120220
51142413312131212
631215523001400
73022602402201
oct472345033050
9130838036440
1042204411432
1116998320a77
12821a209260
133c97999b21
1420852765a8
1511702c5bdc
hex9d3943628

42204411432 has 48 divisors (see below), whose sum is σ = 114361933140. Its totient is φ = 14060959488.

The previous prime is 42204411421. The next prime is 42204411439. The reversal of 42204411432 is 23411440224.

42204411432 is a `hidden beast` number, since 4 + 2 + 204 + 411 + 43 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42060267396 + 144144036 = 205086^2 + 12006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42204411396 and 42204411405.

It is not an unprimeable number, because it can be changed into a prime (42204411439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6493 + ... + 290604.

Almost surely, 242204411432 is an apocalyptic number.

It is an amenable number.

42204411432 is an abundant number, since it is smaller than the sum of its proper divisors (72157521708).

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

42204411432 is a wasteful number, since it uses less digits than its factorization.

42204411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299082 (or 299075 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42204411432 its reverse (23411440224), we get a palindrome (65615851656).

The spelling of 42204411432 in words is "forty-two billion, two hundred four million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1973 3946 5919 7892 11838 15784 17757 23676 35514 47352 71028 142056 297097 594194 891291 1188388 1782582 2376776 2673873 3565164 5347746 7130328 10695492 21390984 586172381 1172344762 1758517143 2344689524 3517034286 4689379048 5275551429 7034068572 10551102858 14068137144 21102205716 42204411432