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144530150897664 = 21132729149397653
BaseRepresentation
bin100000110111001100001100…
…010011011011100000000000
3200221201221120201101020211100
4200313030030103123200000
5122420440222112211124
61231220122410414400
742304646605416360
oct4067141423334000
9627657521336740
10144530150897664
1142062990319a54
1214262ab3131400
13628519a07363c
142799421d389a0
1511a98630ae1c9
hex83730c4db800

144530150897664 has 1152 divisors, whose sum is σ = 498839206320000. Its totient is φ = 39442550095872.

The previous prime is 144530150897603. The next prime is 144530150897707. The reversal of 144530150897664 is 466798051035441.

144530150897664 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 30 + 1 + 508 + 97 + 6 + 6 + 4 = 666.

144530150897664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221332543162 + ... + 221332543814.

It is an arithmetic number, because the mean of its divisors is an integer number (433020144375).

Almost surely, 2144530150897664 is an apocalyptic number.

144530150897664 is a gapful number since it is divisible by the number (14) 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 144530150897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249419603160000).

144530150897664 is an abundant number, since it is smaller than the sum of its proper divisors (354309055422336).

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

144530150897664 is a wasteful number, since it uses less digits than its factorization.

144530150897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 144530150897664 in words is "one hundred forty-four trillion, five hundred thirty billion, one hundred fifty million, eight hundred ninety-seven thousand, six hundred sixty-four".