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41431750668 = 22337311175981
BaseRepresentation
bin100110100101100001…
…100101100000001100
310221221110011000012000
4212211201211200030
51134323012010133
631011122112300
72664501033000
oct464541454014
9127843130160
1041431750668
1116631163560
1280434ab690
133ba3899ac9
1420107c6700
15112754e413
hex9a586580c

41431750668 has 384 divisors, whose sum is σ = 144716544000. Its totient is φ = 10126771200.

The previous prime is 41431750643. The next prime is 41431750691. The reversal of 41431750668 is 86605713414.

41431750668 is a `hidden beast` number, since 41 + 43 + 1 + 7 + 506 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6924238 + ... + 6930218.

It is an arithmetic number, because the mean of its divisors is an integer number (376866000).

Almost surely, 241431750668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41431750668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72358272000).

41431750668 is an abundant number, since it is smaller than the sum of its proper divisors (103284793332).

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

41431750668 is a wasteful number, since it uses less digits than its factorization.

41431750668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 41431750668 in words is "forty-one billion, four hundred thirty-one million, seven hundred fifty thousand, six hundred sixty-eight".