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13144040301 = 37292751991
BaseRepresentation
bin11000011110111001…
…00010001101101101
31020221000211102121110
430033130202031231
5203404333242201
610012134222233
7643502333130
oct141734421555
936830742543
1013144040301
115635517027
122669ab4979
131316195052
148c9942217
1551de056d6
hex30f72236d

13144040301 has 48 divisors (see below), whose sum is σ = 20792066048. Its totient is φ = 7234920000.

The previous prime is 13144040291. The next prime is 13144040311. The reversal of 13144040301 is 10304044131.

It is an interprime number because it is at equal distance from previous prime (13144040291) and next prime (13144040311).

It is a de Polignac number, because none of the positive numbers 2k-13144040301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144040311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13262916 + ... + 13263906.

Almost surely, 213144040301 is an apocalyptic number.

It is an amenable number.

13144040301 is a deficient number, since it is larger than the sum of its proper divisors (7648025747).

13144040301 is an equidigital number, since it uses as much as digits as its factorization.

13144040301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13144040301 its reverse (10304044131), we get a palindrome (23448084432).

The spelling of 13144040301 in words is "thirteen billion, one hundred forty-four million, forty thousand, three hundred one".

Divisors: 1 3 7 21 29 87 203 609 751 841 991 2253 2523 2973 5257 5887 6937 15771 17661 20811 21779 28739 65337 86217 152453 201173 457359 603519 631591 744241 833431 1894773 2232723 2500293 4421137 5209687 5834017 13263411 15629061 17502051 21582989 64748967 151080923 453242769 625906681 1877720043 4381346767 13144040301