Search a number
-
+
1305685403256 = 2331331228159183
BaseRepresentation
bin10011000000000000111…
…010100010011001111000
311121211012110102212022010
4103000000322202121320
5132343020430401011
62435453521325520
7163222046544153
oct23000072423170
94554173385263
101305685403256
11463813409873
121910734968a0
1396182c54490
14472a46a4c9a
1523e6d1191a6
hex13000ea2678

1305685403256 has 128 divisors (see below), whose sum is σ = 3630356029440. Its totient is φ = 388612684800.

The previous prime is 1305685403251. The next prime is 1305685403261. The reversal of 1305685403256 is 6523045865031.

It is an interprime number because it is at equal distance from previous prime (1305685403251) and next prime (1305685403261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305685403251) 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, 22032241 + ... + 22091423.

It is an arithmetic number, because the mean of its divisors is an integer number (28362156480).

Almost surely, 21305685403256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305685403256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815178014720).

1305685403256 is an abundant number, since it is smaller than the sum of its proper divisors (2324670626184).

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

1305685403256 is a wasteful number, since it uses less digits than its factorization.

1305685403256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61517 (or 61513 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 1305685403256 in words is "one trillion, three hundred five billion, six hundred eighty-five million, four hundred three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2281 2418 3224 4562 4836 6843 9124 9672 13686 18248 27372 29653 54744 59183 59306 70711 88959 118366 118612 141422 177549 177918 212133 236732 237224 282844 355098 355836 424266 473464 565688 710196 711672 769379 848532 919243 1420392 1538758 1697064 1834673 1838486 2308137 2757729 3077516 3669346 3676972 4616274 5504019 5515458 6155032 7338692 7353944 9232548 11008038 11030916 14677384 18465096 22016076 22061832 23850749 44032152 47701498 71552247 95402996 134996423 143104494 190805992 269992846 286208988 404989269 539985692 572417976 809978538 1079971384 1619957076 1754953499 3239914152 3509906998 4184889113 5264860497 7019813996 8369778226 10529720994 12554667339 14039627992 16739556452 21059441988 25109334678 33479112904 42118883976 50218669356 54403558469 100437338712 108807116938 163210675407 217614233876 326421350814 435228467752 652842701628 1305685403256