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40304131441 = 7791031574507
BaseRepresentation
bin100101100010010100…
…000011110101110001
310212000212100000101221
4211202110003311301
51130020324201231
630303201225041
72624526315250
oct454224036561
9125025300357
1040304131441
11161026a4542
127989932181
133a540989b2
141d44b38797
1510ad55ed11
hex962503d71

40304131441 has 32 divisors (see below), whose sum is σ = 47408291840. Its totient is φ = 33555352896.

The previous prime is 40304131429. The next prime is 40304131457. The reversal of 40304131441 is 14413140304.

It is a cyclic number.

It is not a de Polignac number, because 40304131441 - 235 = 5944393073 is a prime.

It is a super-2 number, since 2×403041314412 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40304131411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8940310 + ... + 8944816.

It is an arithmetic number, because the mean of its divisors is an integer number (1481509120).

Almost surely, 240304131441 is an apocalyptic number.

It is an amenable number.

40304131441 is a deficient number, since it is larger than the sum of its proper divisors (7104160399).

40304131441 is a wasteful number, since it uses less digits than its factorization.

40304131441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 40304131441 its reverse (14413140304), we get a palindrome (54717271745).

The spelling of 40304131441 in words is "forty billion, three hundred four million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 7 79 103 157 553 721 1099 4507 8137 12403 16171 31549 56959 86821 113197 356053 464221 707599 1277509 2492371 3249547 4953193 8942563 36673459 55900321 72882697 256714213 391302247 510178879 5757733063 40304131441