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412321442232 = 23374051605849
BaseRepresentation
bin1100000000000000100…
…01011110100110111000
31110102021101112111012010
412000000101132212320
523223413242122412
6513230131245520
741534465301060
oct6000021364670
91412241474163
10412321442232
11149956783307
1267ab17498a0
132cb6026a66b
1415d567763a0
15aad34b133c
hex600045e9b8

412321442232 has 64 divisors (see below), whose sum is σ = 1178354016000. Its totient is φ = 117776851200.

The previous prime is 412321442189. The next prime is 412321442233. The reversal of 412321442232 is 232244123214.

It is a super-3 number, since 3×4123214422323 (a number of 36 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 412321442232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412321442233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377644 + ... + 983492.

It is an arithmetic number, because the mean of its divisors is an integer number (18411781500).

Almost surely, 2412321442232 is an apocalyptic number.

412321442232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

412321442232 is an abundant number, since it is smaller than the sum of its proper divisors (766032573768).

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

412321442232 is a wasteful number, since it uses less digits than its factorization.

412321442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609916 (or 609912 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 412321442232 its reverse (232244123214), we get a palindrome (644565565446).

The spelling of 412321442232 in words is "four hundred twelve billion, three hundred twenty-one million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4051 8102 12153 16204 24306 28357 32408 48612 56714 85071 97224 113428 170142 226856 340284 605849 680568 1211698 1817547 2423396 3635094 4240943 4846792 7270188 8481886 12722829 14540376 16963772 25445658 33927544 50891316 101782632 2454294299 4908588598 7362882897 9817177196 14725765794 17180060093 19634354392 29451531588 34360120186 51540180279 58903063176 68720240372 103080360558 137440480744 206160721116 412321442232