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461286134240 = 25523125349493
BaseRepresentation
bin1101011011001101100…
…10111101000111100000
31122002122211020120020112
412231212302331013200
530024203222243430
6551524550430452
745220046306141
oct6554662750740
91562584216215
10461286134240
111686a2aa7118
1275497962428
133466468a1b9
141847d7a7ac8
15beebeed195
hex6b66cbd1e0

461286134240 has 48 divisors (see below), whose sum is σ = 1137170609568. Its totient is φ = 176492084736.

The previous prime is 461286134233. The next prime is 461286134291. The reversal of 461286134240 is 42431682164.

It is a happy number.

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, 62671067 + ... + 62678426.

It is an arithmetic number, because the mean of its divisors is an integer number (23691054366).

Almost surely, 2461286134240 is an apocalyptic number.

461286134240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461286134240 is an abundant number, since it is smaller than the sum of its proper divisors (675884475328).

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

461286134240 is a wasteful number, since it uses less digits than its factorization.

461286134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125349531 (or 125349523 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 461286134240 in words is "four hundred sixty-one billion, two hundred eighty-six million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 125349493 250698986 501397972 626747465 1002795944 1253494930 2005591888 2506989860 2883038339 4011183776 5013979720 5766076678 10027959440 11532153356 14415191695 20055918880 23064306712 28830383390 46128613424 57660766780 92257226848 115321533560 230643067120 461286134240