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11412006074280 = 233657397140827
BaseRepresentation
bin1010011000010001000010…
…0100010111011110101000
31111101222101022202211000000
42212010100210113132220
52443433242023334110
640134334143343000
72255330102060340
oct246042044273650
944358338684000
1011412006074280
1136aa893a11649
1213438818b1a60
1364a1bc242956
142b64b6097d20
1514bcbc1231c0
hexa61109177a8

11412006074280 has 448 divisors, whose sum is σ = 44108749146240. Its totient is φ = 2601869630976.

The previous prime is 11412006074177. The next prime is 11412006074297. The reversal of 11412006074280 is 8247060021411.

It is a happy number.

11412006074280 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 0 + 0 + 607 + 42 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 80965227 + ... + 81106053.

Almost surely, 211412006074280 is an apocalyptic number.

11412006074280 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 11412006074280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054374573120).

11412006074280 is an abundant number, since it is smaller than the sum of its proper divisors (32696743071960).

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

11412006074280 is a wasteful number, since it uses less digits than its factorization.

11412006074280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141260 (or 141241 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 11412006074280 its reverse (8247060021411), we get a palindrome (19659066095691).

The spelling of 11412006074280 in words is "eleven trillion, four hundred twelve billion, six million, seventy-four thousand, two hundred eighty".