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144987218046 = 23211741198807
BaseRepresentation
bin1000011100000111101…
…0010110000001111110
3111212020102000210202200
42013001322112001332
54333413211434141
6150334535132330
713321630006416
oct2070172260176
9455212023680
10144987218046
1156541560950
1224123b140a6
1310897b969a8
147035b23646
153b889a0ab6
hex21c1e9607e

144987218046 has 48 divisors (see below), whose sum is σ = 342746771328. Its totient is φ = 43929147600.

The previous prime is 144987218017. The next prime is 144987218053. The reversal of 144987218046 is 640812789441.

144987218046 is a `hidden beast` number, since 1 + 4 + 498 + 72 + 1 + 80 + 4 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144987217983 and 144987218001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417975 + ... + 1516781.

It is an arithmetic number, because the mean of its divisors is an integer number (7140557736).

Almost surely, 2144987218046 is an apocalyptic number.

144987218046 is an abundant number, since it is smaller than the sum of its proper divisors (197759553282).

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

144987218046 is a wasteful number, since it uses less digits than its factorization.

144987218046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106237 (or 106234 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 144987218046 in words is "one hundred forty-four billion, nine hundred eighty-seven million, two hundred eighteen thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 7411 14822 22233 44466 66699 81521 98807 133398 163042 197614 244563 296421 489126 592842 733689 889263 1086877 1467378 1778526 2173754 3260631 6521262 9781893 19563786 732258677 1464517354 2196776031 4393552062 6590328093 8054845447 13180656186 16109690894 24164536341 48329072682 72493609023 144987218046