Search a number
-
+
1315563006640 = 245223307240203
BaseRepresentation
bin10011001001001101101…
…010100110101010110000
311122202200211220002211111
4103021031222212222300
5133023233112203030
62444210012523104
7164021610023521
oct23111552465260
94582624802744
101315563006640
11467a22025453
12192b6b480494
1397098488bcc
1447960486848
152434a39b62a
hex1324daa6ab0

1315563006640 has 80 divisors (see below), whose sum is σ = 3082420712448. Its totient is φ = 522156872448.

The previous prime is 1315563006619. The next prime is 1315563006671. The reversal of 1315563006640 is 466003655131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1315563006593 and 1315563006602.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5356779 + ... + 5596981.

Almost surely, 21315563006640 is an apocalyptic number.

1315563006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315563006640 is an abundant number, since it is smaller than the sum of its proper divisors (1766857705808).

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

1315563006640 is a wasteful number, since it uses less digits than its factorization.

1315563006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240746 (or 240740 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 1315563006640 in words is "one trillion, three hundred fifteen billion, five hundred sixty-three million, six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 307 446 614 892 1115 1228 1535 1784 2230 2456 3070 3568 4460 4912 6140 8920 12280 17840 24560 68461 136922 240203 273844 342305 480406 547688 684610 960812 1095376 1201015 1369220 1921624 2402030 2738440 3843248 4804060 5476880 9608120 19216240 53565269 73742321 107130538 147484642 214261076 267826345 294969284 368711605 428522152 535652690 589938568 737423210 857044304 1071305380 1179877136 1474846420 2142610760 2949692840 4285221520 5899385680 16444537583 32889075166 65778150332 82222687915 131556300664 164445375830 263112601328 328890751660 657781503320 1315563006640