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41285209320 = 23325114681137
BaseRepresentation
bin100110011100110010…
…100100110011101000
310221120020101221020200
4212130302210303220
51134023003144240
630544405152200
72661041326515
oct463462446350
9127506357220
1041285209320
1116566473903
1280023bb660
133b7c40c254
141dd915c30c
151119754930
hex99cca4ce8

41285209320 has 48 divisors (see below), whose sum is σ = 134176931460. Its totient is φ = 11009389056.

The previous prime is 41285209313. The next prime is 41285209327. The reversal of 41285209320 is 2390258214.

It is a happy number.

41285209320 is a `hidden beast` number, since 4 + 1 + 28 + 520 + 93 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (41285209313) and next prime (41285209327).

It can be written as a sum of positive squares in 2 ways, for example, as 39087662436 + 2197546884 = 197706^2 + 46878^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41285209327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57340209 + ... + 57340928.

Almost surely, 241285209320 is an apocalyptic number.

41285209320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41285209320 is an abundant number, since it is smaller than the sum of its proper divisors (92891722140).

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

41285209320 is a wasteful number, since it uses less digits than its factorization.

41285209320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114681154 (or 114681147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 41285209320 in words is "forty-one billion, two hundred eighty-five million, two hundred nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 114681137 229362274 344043411 458724548 573405685 688086822 917449096 1032130233 1146811370 1376173644 1720217055 2064260466 2293622740 2752347288 3440434110 4128520932 4587245480 5160651165 6880868220 8257041864 10321302330 13761736440 20642604660 41285209320