Search a number
-
+
141630920972641 = 8872134172
BaseRepresentation
bin100000001101000000000100…
…101110111101100101100001
3200120110210011101210011220101
4200031000010232331211201
5122030440111232111031
61221120202531342401
741555332152600322
oct4015000456754541
9616423141704811
10141630920972641
1141145377640081
1213a75030a51a01
13610497a759249
1426d8d8a47c449
15115922a4ba361
hex80d004bbd961

141630920972641 has 9 divisors (see below), whose sum is σ = 141801343863699. Its totient is φ = 141460702700304.

The previous prime is 141630920972591. The next prime is 141630920972647. The reversal of 141630920972641 is 146279029036141.

The square root of 141630920972641 is 11900879.

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., 53096069757025 + 88534851215616 = 7286705^2 + 9409296^2 .

It is not a de Polignac number, because 141630920972641 - 239 = 141081165158753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141630920972647) 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 8 ways as a sum of consecutive naturals, for example, 10556072965 + ... + 10556086381.

Almost surely, 2141630920972641 is an apocalyptic number.

141630920972641 is the 11900879-th square number.

141630920972641 is the 5950440-th centered octagonal number.

It is an amenable number.

141630920972641 is a deficient number, since it is larger than the sum of its proper divisors (170422891058).

141630920972641 is an frugal number, since it uses more digits than its factorization.

141630920972641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28608 (or 14304 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 141630920972641 in words is "one hundred forty-one trillion, six hundred thirty billion, nine hundred twenty million, nine hundred seventy-two thousand, six hundred forty-one".

Divisors: 1 887 13417 786769 11900879 180015889 10556079673 159674093543 141630920972641