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13114334321144 = 237241971720089
BaseRepresentation
bin1011111011010110101100…
…1111010001100111111000
31201102201101111200211111022
42332311223033101213320
53204331124041234034
643520350401522012
72522323300321550
oct276655317214770
951381344624438
1013114334321144
1141a683791a4a1
121579790043308
137418a4130594
14334a46b08160
1517b202042b2e
hexbed6b3d19f8

13114334321144 has 32 divisors (see below), whose sum is σ = 28218751413600. Its totient is φ = 5597107706880.

The previous prime is 13114334321141. The next prime is 13114334321147. The reversal of 13114334321144 is 44112343341131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13114334321141) and next prime (13114334321147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114334321141) 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, 485846549 + ... + 485873540.

It is an arithmetic number, because the mean of its divisors is an integer number (881835981675).

Almost surely, 213114334321144 is an apocalyptic number.

13114334321144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13114334321144 is an abundant number, since it is smaller than the sum of its proper divisors (15104417092456).

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

13114334321144 is a wasteful number, since it uses less digits than its factorization.

13114334321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971720343 (or 971720339 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

Adding to 13114334321144 its reverse (44112343341131), we get a palindrome (57226677662275).

The spelling of 13114334321144 in words is "thirteen trillion, one hundred fourteen billion, three hundred thirty-four million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 241 482 964 1687 1928 3374 6748 13496 971720089 1943440178 3886880356 6802040623 7773760712 13604081246 27208162492 54416324984 234184541449 468369082898 936738165796 1639291790143 1873476331592 3278583580286 6557167160572 13114334321144