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144001606631454 = 234112134712023357
BaseRepresentation
bin100000101111011111111100…
…100111000100000000011110
3200212212102022120002120120000
4200233133330213010000132
5122333310242244201304
61230133231432435130
742221526024322005
oct4057377447040036
9625772276076500
10144001606631454
1141979813913900
1214198586848aa6
1362473a7324420
14277ba01b69c3c
15119ac2b555939
hex82f7fc9c401e

144001606631454 has 240 divisors, whose sum is σ = 390079670992704. Its totient is φ = 39423141521280.

The previous prime is 144001606631429. The next prime is 144001606631537. The reversal of 144001606631454 is 454136606100441.

144001606631454 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 0 + 1 + 6 + 0 + 6 + 631 + 4 + 5 + 4 = 666.

144001606631454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1440016066314543 (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5965144 + ... + 17988500.

Almost surely, 2144001606631454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144001606631454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195039835496352).

144001606631454 is an abundant number, since it is smaller than the sum of its proper divisors (246078064361250).

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

144001606631454 is a wasteful number, since it uses less digits than its factorization.

144001606631454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12023453 (or 12023433 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 144001606631454 in words is "one hundred forty-four trillion, one billion, six hundred six million, six hundred thirty-one thousand, four hundred fifty-four".