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41294499840 = 212345113173
BaseRepresentation
bin100110011101010110…
…000001000000000000
310221120212212221110000
4212131112001000000
51134032342443330
630545340240000
72661213312546
oct463526010000
9127525787400
1041294499840
1116570739a20
128005540000
133b81312bb9
141dda499d96
15111a48c560
hex99d581000

41294499840 has 1040 divisors, whose sum is σ = 168980461056. Its totient is φ = 9555148800.

The previous prime is 41294499833. The next prime is 41294499881. The reversal of 41294499840 is 4899449214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 565678044 + ... + 565678116.

Almost surely, 241294499840 is an apocalyptic number.

41294499840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41294499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490230528).

41294499840 is an abundant number, since it is smaller than the sum of its proper divisors (127685961216).

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

41294499840 is a wasteful number, since it uses less digits than its factorization.

41294499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 41294499840 in words is "forty-one billion, two hundred ninety-four million, four hundred ninety-nine thousand, eight hundred forty".