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9023142413844 = 2236133113158613
BaseRepresentation
bin1000001101001101110100…
…1100101100011000010100
31011221121022022100021000000
42003103131030230120110
52140313343424220334
631105101400451300
71620620611020456
oct203233514543024
934847268307000
109023142413844
112969769729189
1210188b4179b30
13505b565c2ab0
14232a184862d6
15109aa526d299
hex834dd32c614

9023142413844 has 336 divisors, whose sum is σ = 26519877103104. Its totient is φ = 2666236435200.

The previous prime is 9023142413827. The next prime is 9023142413861. The reversal of 9023142413844 is 4483142413209.

9023142413844 is a `hidden beast` number, since 9 + 0 + 23 + 1 + 4 + 241 + 384 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9023142413827) and next prime (9023142413861).

It is a self number, because there is not a number n which added to its sum of digits gives 9023142413844.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 153915082 + ... + 153973694.

It is an arithmetic number, because the mean of its divisors is an integer number (78928205664).

Almost surely, 29023142413844 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 9023142413844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259938551552).

9023142413844 is an abundant number, since it is smaller than the sum of its proper divisors (17496734689260).

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

9023142413844 is a wasteful number, since it uses less digits than its factorization.

9023142413844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58810 (or 58793 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 9023142413844 in words is "nine trillion, twenty-three billion, one hundred forty-two million, four hundred thirteen thousand, eight hundred forty-four".