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414450038740 = 22520722501937
BaseRepresentation
bin1100000011111110010…
…01011011011111010100
31110121202201212101122211
412001333021123133110
523242243202214430
6514221250403204
741641313126563
oct6017711333724
91417681771584
10414450038740
1114a849273381
12683a6590504
133010c25b71a
14160b9347bda
15abaa2c672a
hex607f25b7d4

414450038740 has 12 divisors (see below), whose sum is σ = 870345081396. Its totient is φ = 165780015488.

The previous prime is 414450038729. The next prime is 414450038741. The reversal of 414450038740 is 47830054414.

It can be written as a sum of positive squares in 2 ways, for example, as 150913602576 + 263536436164 = 388476^2 + 513358^2 .

It is a super-2 number, since 2×4144500387402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414450038693 and 414450038702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414450038741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10361250949 + ... + 10361250988.

It is an arithmetic number, because the mean of its divisors is an integer number (72528756783).

Almost surely, 2414450038740 is an apocalyptic number.

It is an amenable number.

414450038740 is an abundant number, since it is smaller than the sum of its proper divisors (455895042656).

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

414450038740 is a wasteful number, since it uses less digits than its factorization.

414450038740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20722501946 (or 20722501944 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 414450038740 in words is "four hundred fourteen billion, four hundred fifty million, thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 20722501937 41445003874 82890007748 103612509685 207225019370 414450038740