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10411312040 = 23517294179163
BaseRepresentation
bin10011011001001000…
…00000001110101000
3222212120201110011122
421230210000032220
5132310243441130
64441034314412
7516000456263
oct115444001650
928776643148
1010411312040
114462a06918
122026888a08
13c9bc8c88c
1470aa2dcda
1540e0582e5
hex26c9003a8

10411312040 has 256 divisors, whose sum is σ = 26780544000. Its totient is φ = 3622993920.

The previous prime is 10411312013. The next prime is 10411312061. The reversal of 10411312040 is 4021311401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63872999 + ... + 63873161.

It is an arithmetic number, because the mean of its divisors is an integer number (104611500).

Almost surely, 210411312040 is an apocalyptic number.

10411312040 is a gapful number since it is divisible by the number (10) 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 10411312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390272000).

10411312040 is an abundant number, since it is smaller than the sum of its proper divisors (16369231960).

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

10411312040 is a wasteful number, since it uses less digits than its factorization.

10411312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10411312040 its reverse (4021311401), we get a palindrome (14432623441).

The spelling of 10411312040 in words is "ten billion, four hundred eleven million, three hundred twelve thousand, forty".