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70410241440 = 2535571129811
BaseRepresentation
bin100000110010011000…
…1110000010110100000
320201202000021212100000
41001210301300112200
52123200010211230
652202423500000
75041555114560
oct1014461602640
9221660255300
1070410241440
1127951822590
12117902b7600
136841433676
14359d2c4da0
151c71648b60
hex1064c705a0

70410241440 has 1152 divisors, whose sum is σ = 321767147520. Its totient is φ = 14108774400.

The previous prime is 70410241399. The next prime is 70410241493. The reversal of 70410241440 is 4414201407.

70410241440 is a `hidden beast` number, since 7 + 0 + 410 + 241 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86818635 + ... + 86819445.

It is an arithmetic number, because the mean of its divisors is an integer number (279311760).

Almost surely, 270410241440 is an apocalyptic number.

70410241440 is a gapful number since it is divisible by the number (70) 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 70410241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160883573760).

70410241440 is an abundant number, since it is smaller than the sum of its proper divisors (251356906080).

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

70410241440 is a wasteful number, since it uses less digits than its factorization.

70410241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 70410241440 its reverse (4414201407), we get a palindrome (74824442847).

The spelling of 70410241440 in words is "seventy billion, four hundred ten million, two hundred forty-one thousand, four hundred forty".