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41220000416 = 2571011821959
BaseRepresentation
bin100110011000111001…
…110100101010100000
310221101200200222110002
4212120321310222200
51133404310003131
630534115355132
72656320136220
oct463071645240
9127350628402
1041220000416
1116532685451
127ba45b2aa8
133b6ba5a3ba
141dd0626080
151113b736cb
hex998e74aa0

41220000416 has 48 divisors (see below), whose sum is σ = 93663319680. Its totient is φ = 17490796800.

The previous prime is 41220000407. The next prime is 41220000449. The reversal of 41220000416 is 61400002214.

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, 888356 + ... + 933603.

It is an arithmetic number, because the mean of its divisors is an integer number (1951319160).

Almost surely, 241220000416 is an apocalyptic number.

It is an amenable number.

41220000416 is an abundant number, since it is smaller than the sum of its proper divisors (52443319264).

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

41220000416 is a wasteful number, since it uses less digits than its factorization.

41220000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822077 (or 1822069 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The spelling of 41220000416 in words is "forty-one billion, two hundred twenty million, four hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 707 808 1414 1616 2828 3232 5656 11312 22624 1821959 3643918 7287836 12753713 14575672 25507426 29151344 51014852 58302688 102029704 184017859 204059408 368035718 408118816 736071436 1288125013 1472142872 2576250026 2944285744 5152500052 5888571488 10305000104 20610000208 41220000416