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141074608801 = 72536572
BaseRepresentation
bin1000001101100010110…
…0111011001010100001
3111111010201202122220011
42003120230323022201
54302410044440201
6144450410244521
713122650250400
oct2033054731241
9444121678804
10141074608801
1154913a36695
1223411726741
13103c33c26a9
146b8423b637
153a0a23e151
hex20d8b3b2a1

141074608801 has 9 divisors (see below), whose sum is σ = 164110256499. Its totient is φ = 120918839664.

The previous prime is 141074608781. The next prime is 141074608813. The reversal of 141074608801 is 108806470141.

The square root of 141074608801 is 375599.

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., 106840728225 + 34233880576 = 326865^2 + 185024^2 .

It is not a de Polignac number, because 141074608801 - 25 = 141074608769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141074608501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2602365 + ... + 2656021.

Almost surely, 2141074608801 is an apocalyptic number.

141074608801 is the 375599-th square number.

141074608801 is the 187800-th centered octagonal number.

It is an amenable number.

141074608801 is a deficient number, since it is larger than the sum of its proper divisors (23035647698).

141074608801 is an frugal number, since it uses more digits than its factorization.

141074608801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107328 (or 53664 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 141074608801 in words is "one hundred forty-one billion, seventy-four million, six hundred eight thousand, eight hundred one".

Divisors: 1 7 49 53657 375599 2629193 2879073649 20153515543 141074608801