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1424310440241 = 313177957747129
BaseRepresentation
bin10100101110011111100…
…001001001000100110001
312001011101122101010010110
4110232133201021010301
5141313441433041431
63010152535451533
7204621511662063
oct24563741110461
95034348333113
101424310440241
114aa057125917
121b005a826ba9
13a4409318060
144cd19175733
15270b2523346
hex14b9f849131

1424310440241 has 64 divisors (see below), whose sum is σ = 2196725529600. Its totient is φ = 813068845056.

The previous prime is 1424310440237. The next prime is 1424310440249. The reversal of 1424310440241 is 1420440134241.

It is a happy number.

It is not a de Polignac number, because 1424310440241 - 22 = 1424310440237 is a prime.

It is a super-2 number, since 2×14243104402412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1424310440199 and 1424310440208.

It is not an unprimeable number, because it can be changed into a prime (1424310440249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30197965 + ... + 30245093.

It is an arithmetic number, because the mean of its divisors is an integer number (34323836400).

Almost surely, 21424310440241 is an apocalyptic number.

It is an amenable number.

1424310440241 is a deficient number, since it is larger than the sum of its proper divisors (772415089359).

1424310440241 is a wasteful number, since it uses less digits than its factorization.

1424310440241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47818.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1424310440241 its reverse (1420440134241), we get a palindrome (2844750574482).

The spelling of 1424310440241 in words is "one trillion, four hundred twenty-four billion, three hundred ten million, four hundred forty thousand, two hundred forty-one".

Divisors: 1 3 13 17 39 51 79 221 237 577 663 1027 1343 1731 3081 4029 7501 9809 17459 22503 29427 45583 47129 52377 127517 136749 141387 382551 592579 612677 774911 801193 1777737 1838031 2324733 2403579 3723191 10073843 10415509 11169573 27193433 30221529 31246527 48401483 63294247 81580299 145204449 189882741 353514629 462288361 822825211 1060543887 1386865083 2148281207 2468475633 6009748693 6444843621 18029246079 27927655691 36520780519 83782967073 109562341557 474770146747 1424310440241