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144797645876 = 221321731238137
BaseRepresentation
bin1000011011011010011…
…1001011110000110100
3111211202012022112122012
42012312213023300310
54333021144132001
6150304044023352
713314135453032
oct2066647136064
9454665275565
10144797645876
1156454550534
1224090531b58
1310867820c00
147018897552
153b770062bb
hex21b69cbc34

144797645876 has 36 divisors (see below), whose sum is σ = 275973531372. Its totient is φ = 66443330304.

The previous prime is 144797645807. The next prime is 144797645921. The reversal of 144797645876 is 678546797441.

144797645876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1969584400 + 142828061476 = 44380^2 + 377926^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 502121 + ... + 736016.

It is an arithmetic number, because the mean of its divisors is an integer number (7665931427).

Almost surely, 2144797645876 is an apocalyptic number.

It is an amenable number.

144797645876 is a deficient number, since it is larger than the sum of its proper divisors (131175885496).

144797645876 is a wasteful number, since it uses less digits than its factorization.

144797645876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238340 (or 1238325 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 68.

The spelling of 144797645876 in words is "one hundred forty-four billion, seven hundred ninety-seven million, six hundred forty-five thousand, eight hundred seventy-six".

Divisors: 1 2 4 13 26 52 169 173 338 346 676 692 2249 4498 8996 29237 58474 116948 1238137 2476274 4952548 16095781 32191562 64383124 209245153 214197701 418490306 428395402 836980612 856790804 2784570113 5569140226 11138280452 36199411469 72398822938 144797645876