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440135501431 = 3166959212039
BaseRepresentation
bin1100110011110100001…
…11101100011001110111
31120002001210121002111211
412121322013230121313
524202344142021211
6534110115142251
743540653014503
oct6317207543167
91502053532454
10440135501431
1115a72a01a69a
12713745a4987
13326737b4462
1417434763303
15b6b0248e21
hex667a1ec677

440135501431 has 8 divisors (see below), whose sum is σ = 454342348800. Its totient is φ = 425929212120.

The previous prime is 440135501413. The next prime is 440135501479. The reversal of 440135501431 is 134105531044.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 440135501431 - 217 = 440135370359 is a prime.

It is a super-3 number, since 3×4401355014313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 440135501393 and 440135501402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440135501401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1969710 + ... + 2181748.

It is an arithmetic number, because the mean of its divisors is an integer number (56792793600).

Almost surely, 2440135501431 is an apocalyptic number.

440135501431 is a deficient number, since it is larger than the sum of its proper divisors (14206847369).

440135501431 is a wasteful number, since it uses less digits than its factorization.

440135501431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279029.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 440135501431 in words is "four hundred forty billion, one hundred thirty-five million, five hundred one thousand, four hundred thirty-one".

Divisors: 1 31 66959 212039 2075729 6573209 14197919401 440135501431