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1304430241312 = 251157113994639
BaseRepresentation
bin10010111110110110000…
…110011110011000100000
311121200221222122000210201
4102332312012132120200
5132332433120210222
62435125203034544
7163145666051662
oct22766606363040
94550858560721
101304430241312
11463229957050
1219098306ba54
1396012bb81c3
14471c5ad6532
1523de7d34427
hex12fb619e620

1304430241312 has 96 divisors (see below), whose sum is σ = 2809078272000. Its totient is φ = 591333868800.

The previous prime is 1304430241241. The next prime is 1304430241327. The reversal of 1304430241312 is 2131420344031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281185489 + ... + 281190127.

It is an arithmetic number, because the mean of its divisors is an integer number (29261232000).

Almost surely, 21304430241312 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 1304430241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404539136000).

1304430241312 is an abundant number, since it is smaller than the sum of its proper divisors (1504648030688).

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

1304430241312 is a wasteful number, since it uses less digits than its factorization.

1304430241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6630 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1304430241312 its reverse (2131420344031), we get a palindrome (3435850585343).

The spelling of 1304430241312 in words is "one trillion, three hundred four billion, four hundred thirty million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 571 1142 1399 2284 2798 4568 4639 5596 6281 9136 9278 11192 12562 15389 18272 18556 22384 25124 30778 37112 44768 50248 51029 61556 74224 100496 102058 123112 148448 200992 204116 246224 408232 492448 798829 816464 1597658 1632928 2648869 3195316 5297738 6390632 6489961 8787119 10595476 12781264 12979922 17574238 21190952 25562528 25959844 29137559 35148476 42381904 51919688 58275118 70296952 71389571 84763808 103839376 116550236 140593904 142779142 207678752 233100472 281187808 285558284 466200944 571116568 932401888 1142233136 2284466272 3705767731 7411535462 14823070924 29646141848 40763445041 59292283696 81526890082 118584567392 163053780164 326107560328 652215120656 1304430241312