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13044040301440 = 275171198900763
BaseRepresentation
bin1011110111010000110101…
…1000110111101110000000
31201011222221121002122102001
42331310031120313232000
53202203143304121230
643424203245033344
72514254323110601
oct275641530675600
951158847078361
1013044040301440
114179a45769035
121568032855854
13738080b00195
14331499037da8
1517948ac050ca
hexbdd0d637b80

13044040301440 has 64 divisors (see below), whose sum is σ = 33017727040560. Its totient is φ = 4910697521152.

The previous prime is 13044040301429. The next prime is 13044040301441. The reversal of 13044040301440 is 4410304044031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13044040301399 and 13044040301408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044040301441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599439502 + ... + 599461261.

Almost surely, 213044040301440 is an apocalyptic number.

13044040301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044040301440 is an abundant number, since it is smaller than the sum of its proper divisors (19973686739120).

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

13044040301440 is a wasteful number, since it uses less digits than its factorization.

13044040301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198900799 (or 1198900787 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13044040301440 its reverse (4410304044031), we get a palindrome (17454344345471).

The spelling of 13044040301440 in words is "thirteen trillion, forty-four billion, forty million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 1198900763 2397801526 4795603052 5994503815 9591206104 11989007630 19182412208 20381312971 23978015260 38364824416 40762625942 47956030520 76729648832 81525251884 95912061040 101906564855 153459297664 163050503768 191824122080 203813129710 326101007536 383648244160 407626259420 652202015072 767296488320 815252518840 1304404030144 1630505037680 2608808060288 3261010075360 6522020150720 13044040301440