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414542263952 = 24172237681293
BaseRepresentation
bin1100000100001001010…
…01001111011010010000
31110122000011101220212102
412002010221033122100
523242440304421302
6514234343215532
741643513051005
oct6020451173220
91418004356772
10414542263952
1114a896334563
12684114475a8
13301253ac45b
14160c76b38ac
15abb3442702
hex6084a4f690

414542263952 has 40 divisors (see below), whose sum is σ = 850802672376. Its totient is φ = 194991220736.

The previous prime is 414542263921. The next prime is 414542263957. The reversal of 414542263952 is 259362245414.

It can be written as a sum of positive squares in 4 ways, for example, as 78749829376 + 335792434576 = 280624^2 + 579476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414542263897 and 414542263906.

It is not an unprimeable number, because it can be changed into a prime (414542263957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267818 + ... + 949110.

Almost surely, 2414542263952 is an apocalyptic number.

It is an amenable number.

414542263952 is an abundant number, since it is smaller than the sum of its proper divisors (436260408424).

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

414542263952 is a wasteful number, since it uses less digits than its factorization.

414542263952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683555 (or 683549 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 47.

The spelling of 414542263952 in words is "four hundred fourteen billion, five hundred forty-two million, two hundred sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 2237 4474 8948 17896 35792 38029 76058 152116 304232 608464 681293 1362586 2725172 5450344 10900688 11581981 23163962 46327924 92655848 185311696 1524052441 3048104882 6096209764 12192419528 24384839056 25908891497 51817782994 103635565988 207271131976 414542263952