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13054002144 = 253241564229
BaseRepresentation
bin11000010100001010…
…00100001111100000
31020200202102000110220
430022011010033200
5203213311032034
65555200323040
7641330121201
oct141205041740
936622360426
1013054002144
11559970a027
122643913480
13130062b931
148bb9c55a8
1551606c749
hex30a1443e0

13054002144 has 48 divisors (see below), whose sum is σ = 34409002320. Its totient is φ = 4333271040.

The previous prime is 13054002139. The next prime is 13054002149. The reversal of 13054002144 is 44120045031.

It is an interprime number because it is at equal distance from previous prime (13054002139) and next prime (13054002149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054002149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258979 + ... + 305250.

It is an arithmetic number, because the mean of its divisors is an integer number (716854215).

Almost surely, 213054002144 is an apocalyptic number.

It is an amenable number.

13054002144 is an abundant number, since it is smaller than the sum of its proper divisors (21355000176).

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

13054002144 is a wasteful number, since it uses less digits than its factorization.

13054002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564483 (or 564475 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 13054002144 its reverse (44120045031), we get a palindrome (57174047175).

The spelling of 13054002144 in words is "thirteen billion, fifty-four million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2892 3856 5784 7712 11568 23136 564229 1128458 1692687 2256916 3385374 4513832 6770748 9027664 13541496 18055328 27082992 54165984 135979189 271958378 407937567 543916756 815875134 1087833512 1631750268 2175667024 3263500536 4351334048 6527001072 13054002144