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149412398521 = 3123723372
BaseRepresentation
bin1000101100100110101…
…1000100010110111001
3112021122210210021011211
42023021223010112321
54421444033223041
6152350014123121
713536402301261
oct2131153042671
9467583707154
10149412398521
11584024494a1
1224b59ab04a1
1311121905089
1473357147a1
153d47210481
hex22c9ac45b9

149412398521 has 27 divisors (see below), whose sum is σ = 159145278957. Its totient is φ = 140267272320.

The previous prime is 149412398519. The next prime is 149412398561. The reversal of 149412398521 is 125893214941.

The square root of 149412398521 is 386539.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6845742121 + 142566656400 = 82739^2 + 377580^2 .

It is not a de Polignac number, because 149412398521 - 21 = 149412398519 is a prime.

It is a Duffinian number.

Its product of digits (622080) is a multiple of the sum of its prime divisors (405).

It is not an unprimeable number, because it can be changed into a prime (149412398501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 443360065 + ... + 443360401.

It is an arithmetic number, because the mean of its divisors is an integer number (5894269591).

Almost surely, 2149412398521 is an apocalyptic number.

149412398521 is the 386539-th square number.

149412398521 is the 193270-th centered octagonal number.

It is an amenable number.

149412398521 is a deficient number, since it is larger than the sum of its proper divisors (9732880436).

149412398521 is an frugal number, since it uses more digits than its factorization.

149412398521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 405 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

Multiplying 149412398521 by its sum of digits (49), we get a square (7321207527529 = 27057732).

It can be divided in two parts, 1494123 and 98521, that added together give a square (1592644 = 12622).

The spelling of 149412398521 in words is "one hundred forty-nine billion, four hundred twelve million, three hundred ninety-eight thousand, five hundred twenty-one".

Divisors: 1 31 37 337 961 1147 1369 10447 12469 35557 42439 113569 323857 386539 461353 1315609 3520639 4202053 11982709 14301943 109139809 130263643 155475961 443360233 4038172933 4819754791 149412398521