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145901844841 = 53272072
BaseRepresentation
bin1000011111100001101…
…1010111100101101001
3111221121011001122212011
42013320123113211221
54342301333013331
6151005410515521
713353404135014
oct2077033274551
9457534048764
10145901844841
1156970873565
122433a295ba1
13109b2511b8c
1470c13aa37b
153bdde1b3b1
hex21f86d7969

145901844841 has 9 divisors (see below), whose sum is σ = 148727287191. Its totient is φ = 143129117352.

The previous prime is 145901844779. The next prime is 145901844859. The reversal of 145901844841 is 148448109541.

It is a happy number.

The square root of 145901844841 is 381971.

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., 105180219225 + 40721625616 = 324315^2 + 201796^2 .

It is not a de Polignac number, because 145901844841 - 213 = 145901836649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145901844541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20240860 + ... + 20248066.

Almost surely, 2145901844841 is an apocalyptic number.

145901844841 is the 381971-st square number.

145901844841 is the 190986-th centered octagonal number.

It is an amenable number.

145901844841 is a deficient number, since it is larger than the sum of its proper divisors (2825442350).

145901844841 is an frugal number, since it uses more digits than its factorization.

145901844841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14520 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 145901844841 by its sum of digits (49), we get a square (7149190397209 = 26737972).

The spelling of 145901844841 in words is "one hundred forty-five billion, nine hundred one million, eight hundred forty-four thousand, eight hundred forty-one".

Divisors: 1 53 2809 7207 381971 20244463 51940849 2752864997 145901844841