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40323264642 = 2345338912073
BaseRepresentation
bin100101100011011101…
…000011000010000010
310212002012100002020000
4211203131003002002
51130040223432032
630305123300430
72625151044213
oct454335030202
9125065302200
1040323264642
1116112482601
12799421a716
133a5803770b
141d474b940a
1510b008de7c
hex963743082

40323264642 has 80 divisors (see below), whose sum is σ = 92303073720. Its totient is φ = 13152492288.

The previous prime is 40323264593. The next prime is 40323264643. The reversal of 40323264642 is 24646232304.

40323264642 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 3 + 2 + 6 + 4 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22022856801 + 18300407841 = 148401^2 + 135279^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40323264597 and 40323264606.

It is not an unprimeable number, because it can be changed into a prime (40323264643) 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, 3333918 + ... + 3345990.

Almost surely, 240323264642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40323264642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46151536860).

40323264642 is an abundant number, since it is smaller than the sum of its proper divisors (51979809078).

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

40323264642 is a wasteful number, since it uses less digits than its factorization.

40323264642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 40323264642 its reverse (24646232304), we get a palindrome (64969496946).

The spelling of 40323264642 in words is "forty billion, three hundred twenty-three million, two hundred sixty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 389 477 778 954 1167 1431 2334 2862 3501 4293 7002 8586 10503 12073 20617 21006 24146 31509 36219 41234 61851 63018 72438 108657 123702 185553 217314 325971 371106 556659 639869 651942 977913 1113318 1279738 1669977 1919607 1955826 3339954 3839214 4696397 5758821 9392794 11517642 14089191 17276463 28178382 34552926 42267573 51829389 84535146 103658778 126802719 248909041 253605438 380408157 497818082 746727123 760816314 1493454246 2240181369 4480362738 6720544107 13441088214 20161632321 40323264642