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40515505441 is a prime number
BaseRepresentation
bin100101101110111010…
…011000110100100001
310212120121001221000121
4211232322120310201
51130433432133231
630340151520241
72633004054055
oct455672306441
9125517057017
1040515505441
1116200a459a4
127a28689081
133a88b06078
141d64c3bc65
1510c1db4311
hex96ee98d21

40515505441 has 2 divisors, whose sum is σ = 40515505442. Its totient is φ = 40515505440.

The previous prime is 40515505427. The next prime is 40515505453. The reversal of 40515505441 is 14450551504.

40515505441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39961609216 + 553896225 = 199904^2 + 23535^2 .

It is a cyclic number.

It is not a de Polignac number, because 40515505441 - 211 = 40515503393 is a prime.

It is a super-2 number, since 2×405155054412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40515505397 and 40515505406.

It is not a weakly prime, because it can be changed into another prime (40515505141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20257752720 + 20257752721.

It is an arithmetic number, because the mean of its divisors is an integer number (20257752721).

Almost surely, 240515505441 is an apocalyptic number.

It is an amenable number.

40515505441 is a deficient number, since it is larger than the sum of its proper divisors (1).

40515505441 is an equidigital number, since it uses as much as digits as its factorization.

40515505441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 40515505441 in words is "forty billion, five hundred fifteen million, five hundred five thousand, four hundred forty-one".