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1352513440141 = 31139439714991
BaseRepresentation
bin10011101011101000000…
…101010100100110001101
311210022001222122121112121
4103223220011110212031
5134124421420041031
62513200332532541
7166500354361063
oct23535005244615
94708058577477
101352513440141
11481663638aa6
1219a162021151
139a7067c0c46
1449667a28033
15252ae29d011
hex13ae815498d

1352513440141 has 16 divisors (see below), whose sum is σ = 1409392230400. Its totient is φ = 1296505666800.

The previous prime is 1352513440133. The next prime is 1352513440169. The reversal of 1352513440141 is 1410443152531.

It is a cyclic number.

It is not a de Polignac number, because 1352513440141 - 23 = 1352513440133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1352513440097 and 1352513440106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352513440111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534156 + ... + 2249146.

It is an arithmetic number, because the mean of its divisors is an integer number (88087014400).

Almost surely, 21352513440141 is an apocalyptic number.

It is an amenable number.

1352513440141 is a deficient number, since it is larger than the sum of its proper divisors (56878790259).

1352513440141 is a wasteful number, since it uses less digits than its factorization.

1352513440141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715600.

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 1352513440141 its reverse (1410443152531), we get a palindrome (2762956592672).

The spelling of 1352513440141 in words is "one trillion, three hundred fifty-two billion, five hundred thirteen million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 31 139 439 4309 13609 61021 714991 1891651 22164721 99383749 313881049 3080896219 9730312519 43629465811 1352513440141