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11412708840 = 2335513181499
BaseRepresentation
bin10101010000100000…
…00001110111101000
31002110101000200100000
422220100001313220
5141333123140330
65124245543000
7552550265421
oct125020016750
932411020300
1011412708840
1149271a4085
122266114a60
1310cb598770
147a3a22648
1546be13560
hex2a8401de8

11412708840 has 384 divisors, whose sum is σ = 41736240000. Its totient is φ = 2788162560.

The previous prime is 11412708833. The next prime is 11412708847. The reversal of 11412708840 is 4880721411.

It is an interprime number because it is at equal distance from previous prime (11412708833) and next prime (11412708847).

It is a super-2 number, since 2×114127088402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11412708795 and 11412708804.

It is not an unprimeable number, because it can be changed into a prime (11412708847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 22870911 + ... + 22871409.

It is an arithmetic number, because the mean of its divisors is an integer number (108688125).

Almost surely, 211412708840 is an apocalyptic number.

11412708840 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 11412708840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868120000).

11412708840 is an abundant number, since it is smaller than the sum of its proper divisors (30323531160).

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

11412708840 is a wasteful number, since it uses less digits than its factorization.

11412708840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 11412708840 in words is "eleven billion, four hundred twelve million, seven hundred eight thousand, eight hundred forty".