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144385602894 = 23313216195177
BaseRepresentation
bin1000011001111000001…
…1010111010101001110
3111210200110222120221000
42012132003113111032
54331200203243034
6150155124321130
713301003242401
oct2063603272516
9453613876830
10144385602894
11562629aa545
1223b965431a6
1310800353bb0
146db9c79d38
153b50c64599
hex219e0d754e

144385602894 has 64 divisors (see below), whose sum is σ = 345701724480. Its totient is φ = 44405314560.

The previous prime is 144385602887. The next prime is 144385602899. The reversal of 144385602894 is 498206583441.

144385602894 is a `hidden beast` number, since 1 + 44 + 38 + 560 + 2 + 8 + 9 + 4 = 666.

144385602894 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1443856028942 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144385602894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144385602899) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1469434 + ... + 1564610.

It is an arithmetic number, because the mean of its divisors is an integer number (5401589445).

Almost surely, 2144385602894 is an apocalyptic number.

144385602894 is an abundant number, since it is smaller than the sum of its proper divisors (201316121586).

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

144385602894 is a wasteful number, since it uses less digits than its factorization.

144385602894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97362 (or 97356 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 144385602894 in words is "one hundred forty-four billion, three hundred eighty-five million, six hundred two thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 2161 4322 6483 12966 19449 28093 38898 56186 58347 84279 95177 116694 168558 190354 252837 285531 505674 571062 758511 856593 1237301 1517022 1713186 2474602 2569779 3711903 5139558 7423806 11135709 22271418 33407127 66814254 205677497 411354994 617032491 1234064982 1851097473 2673807461 3702194946 5347614922 5553292419 8021422383 11106584838 16042844766 24064267149 48128534298 72192801447 144385602894