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149401508986081 = 11211111812
BaseRepresentation
bin100001111110000100111111…
…110111110011110011100001
3201120222122102001001011200201
4201332010333313303303201
5124040243242300023311
61245430034500345201
743316621445110602
oct4176047767636341
9646878361034621
10149401508986081
1143670907a2a300
121490b01b0a5201
13654966a728ba1
1428c7100737da9
151241421cd39c1
hex87e13fdf3ce1

149401508986081 has 9 divisors (see below), whose sum is σ = 164218335350419. Its totient is φ = 135819431393800.

The previous prime is 149401508986063. The next prime is 149401508986087. The reversal of 149401508986081 is 180689805104941.

The square root of 149401508986081 is 12222991.

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

It can be written as a sum of positive squares in only one way, i.e., 127654769030481 + 21746739955600 = 11298441^2 + 4663340^2 .

It is not a de Polignac number, because 149401508986081 - 217 = 149401508855009 is a prime.

It is a super-2 number, since 2×1494015089860812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149401508986087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133897311 + ... + 135008491.

Almost surely, 2149401508986081 is an apocalyptic number.

149401508986081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

149401508986081 is the 12222991-st square number.

149401508986081 is the 6111496-th centered octagonal number.

It is an amenable number.

149401508986081 is a deficient number, since it is larger than the sum of its proper divisors (14816826364338).

149401508986081 is an frugal number, since it uses more digits than its factorization.

149401508986081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222384 (or 1111192 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 64.

The spelling of 149401508986081 in words is "one hundred forty-nine trillion, four hundred one billion, five hundred eight million, nine hundred eighty-six thousand, eighty-one".

Divisors: 1 11 121 1111181 12222991 134452901 1234723214761 13581955362371 149401508986081