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1305424002340 = 225737912778863
BaseRepresentation
bin10010111111110001010…
…101010111110100100100
311121210112020120022122201
4102333301111113310210
5132342002021033330
62435411542504244
7163212423636313
oct22776125276444
94553466508581
101305424002340
114636998a9457
12190bbba35084
1396140a4c693
144727ba9c27a
1523e551d1eca
hex12ff1557d24

1305424002340 has 96 divisors (see below), whose sum is σ = 2816641658880. Its totient is φ = 508041870336.

The previous prime is 1305424002319. The next prime is 1305424002353. The reversal of 1305424002340 is 432004245031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1305424002299 and 1305424002308.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 147284749 + ... + 147293611.

It is an arithmetic number, because the mean of its divisors is an integer number (29340017280).

Almost surely, 21305424002340 is an apocalyptic number.

1305424002340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305424002340 is an abundant number, since it is smaller than the sum of its proper divisors (1511217656540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305424002340 is a wasteful number, since it uses less digits than its factorization.

1305424002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 1305424002340 its reverse (432004245031), we get a palindrome (1737428247371).

The spelling of 1305424002340 in words is "one trillion, three hundred five billion, four hundred twenty-four million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 79 146 158 292 316 365 395 730 790 1277 1460 1580 2554 5108 5767 6385 8863 11534 12770 17726 23068 25540 28835 35452 44315 57670 88630 93221 100883 115340 177260 186442 201766 372884 403532 466105 504415 646999 700177 932210 1008830 1293998 1400354 1864420 2017660 2587996 2800708 3234995 3500885 6469990 7001770 7364459 11318051 12939980 14003540 14728918 22636102 29457836 36822295 45272204 51112921 56590255 73644590 102225842 113180510 147289180 204451684 226361020 255564605 511129210 826217723 894126029 1022258420 1652435446 1788252058 3304870892 3576504116 4131088615 4470630145 8262177230 8941260290 16524354460 17882520580 65271200117 130542400234 261084800468 326356000585 652712001170 1305424002340