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144798270273864 = 233574484706931
BaseRepresentation
bin100000111011000101111001…
…011101101011100101001000
3200222200120122102021210100000
4200323011321131223211020
5122434333324142230424
61231543223531243000
742333221056463664
oct4073057135534510
9628616572253300
10144798270273864
1142156668760779
12142a6a5b8a9460
1362a4558ccbabc
1427a83b8d6d8a4
1511b18069b23c9
hex83b17976b948

144798270273864 has 48 divisors (see below), whose sum is σ = 406686499848720. Its totient is φ = 48266090090640.

The previous prime is 144798270273817. The next prime is 144798270273869. The reversal of 144798270273864 is 468372072897441.

144798270273864 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 9 + 8 + 270 + 273 + 86 + 4 = 666.

144798270273864 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-2 number, since 2×1447982702738642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 144798270273792 and 144798270273801.

It is not an unprimeable number, because it can be changed into a prime (144798270273869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37242351522 + ... + 37242355409.

It is an arithmetic number, because the mean of its divisors is an integer number (8472635413515).

Almost surely, 2144798270273864 is an apocalyptic number.

It is an amenable number.

144798270273864 is an abundant number, since it is smaller than the sum of its proper divisors (261888229574856).

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

144798270273864 is an equidigital number, since it uses as much as digits as its factorization.

144798270273864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74484706952 (or 74484706936 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 144798270273864 in words is "one hundred forty-four trillion, seven hundred ninety-eight billion, two hundred seventy million, two hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 74484706931 148969413862 223454120793 297938827724 446908241586 595877655448 670362362379 893816483172 1340724724758 1787632966344 2011087087137 2681449449516 4022174174274 5362898899032 6033261261411 8044348348548 12066522522822 16088696697096 18099783784233 24133045045644 36199567568466 48266090091288 72399135136932 144798270273864