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313330040232 = 233115997120717
BaseRepresentation
bin1001000111100111110…
…11001111110110101000
31002221202111202020021220
410203303323033312220
520113144442241412
6355535234102040
731431416253366
oct4436373176650
91087674666256
10313330040232
11110978703880
125088571a920
13237156b8791
1411245660636
15823caa568c
hex48f3ecfda8

313330040232 has 128 divisors (see below), whose sum is σ = 869957107200. Its totient is φ = 93238572800.

The previous prime is 313330040227. The next prime is 313330040249. The reversal of 313330040232 is 232040033313.

It is a happy number.

It is a super-2 number, since 2×3133300402322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 15113938 + ... + 15134654.

It is an arithmetic number, because the mean of its divisors is an integer number (6796539900).

Almost surely, 2313330040232 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 313330040232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434978553600).

313330040232 is an abundant number, since it is smaller than the sum of its proper divisors (556627066968).

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

313330040232 is a wasteful number, since it uses less digits than its factorization.

313330040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21767 (or 21763 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 313330040232 its reverse (232040033313), we get a palindrome (545370073545).

The spelling of 313330040232 in words is "three hundred thirteen billion, three hundred thirty million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 971 1298 1416 1942 1947 2596 2913 3884 3894 5192 5826 7768 7788 10681 11652 15576 20717 21362 23304 32043 41434 42724 57289 62151 64086 82868 85448 114578 124302 128172 165736 171867 227887 229156 248604 256344 343734 455774 458312 497208 630179 683661 687468 911548 1222303 1260358 1367322 1374936 1823096 1890537 2444606 2520716 2734644 3666909 3781074 4889212 5041432 5469288 7333818 7562148 9778424 13445333 14667636 15124296 20116207 26890666 29335272 40232414 40335999 53781332 60348621 80464828 80671998 107562664 120697242 160929656 161343996 221278277 241394484 322687992 442556554 482788968 663834831 885113108 1186856213 1327669662 1770226216 2373712426 2655339324 3560568639 4747424852 5310678648 7121137278 9494849704 13055418343 14242274556 26110836686 28484549112 39166255029 52221673372 78332510058 104443346744 156665020116 313330040232