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41222903985 = 3251753886149
BaseRepresentation
bin100110011001000100…
…111001100010110001
310221101220011111101200
4212121010321202301
51133411030411420
630534301521413
72656353621354
oct463104714261
9127356144350
1041222903985
111653428899a
127ba5573269
133b6c535ba3
141dd0b8029b
151114048b90
hex9991398b1

41222903985 has 24 divisors (see below), whose sum is σ = 75656154600. Its totient is φ = 20692280832.

The previous prime is 41222903983. The next prime is 41222903993. The reversal of 41222903985 is 58930922214.

41222903985 is a `hidden beast` number, since 412 + 229 + 0 + 3 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19174217841 + 22048686144 = 138471^2 + 148488^2 .

It is not a de Polignac number, because 41222903985 - 21 = 41222903983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 41222903985.

It is not an unprimeable number, because it can be changed into a prime (41222903983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26942310 + ... + 26943839.

It is an arithmetic number, because the mean of its divisors is an integer number (3152339775).

Almost surely, 241222903985 is an apocalyptic number.

41222903985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41222903985 is a deficient number, since it is larger than the sum of its proper divisors (34433250615).

41222903985 is a wasteful number, since it uses less digits than its factorization.

41222903985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53886177 (or 53886174 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 41222903985 in words is "forty-one billion, two hundred twenty-two million, nine hundred three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 53886149 161658447 269430745 484975341 808292235 916064533 2424876705 2748193599 4580322665 8244580797 13740967995 41222903985