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13144656016040 = 2355323611310099
BaseRepresentation
bin1011111101000111101010…
…0011010111001010101000
31201112121122200022112022012
42333101322203113022220
53210330223420003130
643542323245015052
72524445554425443
oct277217243271250
951477580275265
1013144656016040
11420868770567a
121583632854488
137446c704b193
143362c1b7265a
1517bdc9013995
hexbf47a8d72a8

13144656016040 has 64 divisors (see below), whose sum is σ = 29588800824000. Its totient is φ = 5255494244352.

The previous prime is 13144656016007. The next prime is 13144656016067. The reversal of 13144656016040 is 4061065644131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301574911 + ... + 1301585009.

It is an arithmetic number, because the mean of its divisors is an integer number (462325012875).

Almost surely, 213144656016040 is an apocalyptic number.

13144656016040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144656016040 is an abundant number, since it is smaller than the sum of its proper divisors (16444144807960).

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

13144656016040 is a wasteful number, since it uses less digits than its factorization.

13144656016040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21546 (or 21542 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 13144656016040 in words is "thirteen trillion, one hundred forty-four billion, six hundred fifty-six million, sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5323 6113 10099 10646 12226 20198 21292 24452 26615 30565 40396 42584 48904 50495 53230 61130 80792 100990 106460 122260 201980 212920 244520 403960 32539499 53756977 61735187 65078998 107513954 123470374 130157996 162697495 215027908 246940748 260315992 268784885 308675935 325394990 430055816 493881496 537569770 617351870 650789980 1075139540 1234703740 1301579960 2150279080 2469407480 328616400401 657232800802 1314465601604 1643082002005 2628931203208 3286164004010 6572328008020 13144656016040