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1314691308744 = 2331179157401507
BaseRepresentation
bin10011001000011001101…
…101010101110011001000
311122200110002122021010020
4103020121231111303020
5133014441433334434
62443543313220440
7163661163512322
oct23103155256310
94580402567106
101314691308744
11467614a73970
12192967561720
1396c899c1738
14478ba7b6612
15242e8ab0849
hex13219b55cc8

1314691308744 has 128 divisors (see below), whose sum is σ = 3654044006400. Its totient is φ = 390842000640.

The previous prime is 1314691308719. The next prime is 1314691308751. The reversal of 1314691308744 is 4478031964131.

It is a super-3 number, since 3×13146913087443 (a number of 37 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3073639 + ... + 3475145.

It is an arithmetic number, because the mean of its divisors is an integer number (28547218800).

Almost surely, 21314691308744 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 1314691308744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827022003200).

1314691308744 is an abundant number, since it is smaller than the sum of its proper divisors (2339352697656).

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

1314691308744 is a wasteful number, since it uses less digits than its factorization.

1314691308744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401763 (or 401759 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1314691308744 in words is "one trillion, three hundred fourteen billion, six hundred ninety-one million, three hundred eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 157 158 237 264 314 316 471 474 628 632 869 942 948 1256 1727 1738 1884 1896 2607 3454 3476 3768 5181 5214 6908 6952 10362 10428 12403 13816 20724 20856 24806 37209 41448 49612 74418 99224 136433 148836 272866 297672 401507 409299 545732 803014 818598 1091464 1204521 1606028 1637196 2409042 3212056 3274392 4416577 4818084 8833154 9636168 13249731 17666308 26499462 31719053 35332616 52998924 63036599 63438106 95157159 105997848 126073198 126876212 189109797 190314318 252146396 253752424 348909583 378219594 380628636 504292792 693402589 697819166 756439188 761257272 1046728749 1386805178 1395638332 1512878376 2080207767 2093457498 2773610356 2791276664 4160415534 4186914996 4979891321 5547220712 8320831068 8373829992 9959782642 14939673963 16641662136 19919565284 29879347926 39839130568 54778804531 59758695852 109557609062 119517391704 164336413593 219115218124 328672827186 438230436248 657345654372 1314691308744