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414052544240 = 2456777248609
BaseRepresentation
bin1100000011001110111…
…01000110111011110000
31110120202000220120201022
412001213131012323300
523240434422403430
6514114010555012
741625415361516
oct6014735067360
91416660816638
10414052544240
1114a664959925
12682b5438a68
1330077ab668a
141607c6364b6
15ab8545a4e5
hex6067746ef0

414052544240 has 40 divisors (see below), whose sum is σ = 977040419280. Its totient is φ = 163149060096.

The previous prime is 414052544233. The next prime is 414052544299. The reversal of 414052544240 is 42445250414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 414052544240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38618945 + ... + 38629664.

It is an arithmetic number, because the mean of its divisors is an integer number (24426010482).

Almost surely, 2414052544240 is an apocalyptic number.

414052544240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414052544240 is an abundant number, since it is smaller than the sum of its proper divisors (562987875040).

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

414052544240 is a wasteful number, since it uses less digits than its factorization.

414052544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77248689 (or 77248683 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 414052544240 its reverse (42445250414), we get a palindrome (456497794654).

The spelling of 414052544240 in words is "four hundred fourteen billion, fifty-two million, five hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 77248609 154497218 308994436 386243045 617988872 772486090 1235977744 1544972180 3089944360 5175656803 6179888720 10351313606 20702627212 25878284015 41405254424 51756568030 82810508848 103513136060 207026272120 414052544240