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461413212040 = 235111743160161
BaseRepresentation
bin1101011011011100101…
…11101101111110001000
31122002222200100210012201
412231232113231332020
530024433240241130
6551545330245544
745223151406304
oct6555627557610
91562880323181
10461413212040
111687588025a0
12755124268b4
1334684ac1871
1418492606d04
15c008250bca
hex6b6e5edf88

461413212040 has 64 divisors (see below), whose sum is σ = 1132643502720. Its totient is φ = 167774208000.

The previous prime is 461413211971. The next prime is 461413212049. The reversal of 461413212040 is 40212314164.

It is not an unprimeable number, because it can be changed into a prime (461413212049) 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, 7639560 + ... + 7699720.

It is an arithmetic number, because the mean of its divisors is an integer number (17697554730).

Almost surely, 2461413212040 is an apocalyptic number.

461413212040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461413212040 is an abundant number, since it is smaller than the sum of its proper divisors (671230290680).

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

461413212040 is a wasteful number, since it uses less digits than its factorization.

461413212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77614 (or 77610 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 461413212040 in words is "four hundred sixty-one billion, four hundred thirteen million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 17431 34862 60161 69724 87155 120322 139448 174310 191741 240644 300805 348620 383482 481288 601610 661771 697240 766964 958705 1203220 1323542 1533928 1917410 2406440 2647084 3308855 3834820 5294168 6617710 7669640 13235420 26470840 1048666391 2097332782 4194665564 5243331955 8389331128 10486663910 11535330301 20973327820 23070660602 41946655640 46141321204 57676651505 92282642408 115353303010 230706606020 461413212040