Search a number
-
+
1314694805424 = 2437111327362113
BaseRepresentation
bin10011001000011001111…
…010101011011110110000
311122200110100012220122220
4103020121322223132300
5133014443332233144
62443543520201040
7163661235314610
oct23103172533660
94580410186586
101314694805424
11467616a41a90
12192968769180
1396c8a647190
14478bb046a40
15242e9051919
hex13219eab7b0

1314694805424 has 160 divisors (see below), whose sum is σ = 4560060470784. Its totient is φ = 315211530240.

The previous prime is 1314694805419. The next prime is 1314694805429. The reversal of 1314694805424 is 4245084964131.

It is an interprime number because it is at equal distance from previous prime (1314694805419) and next prime (1314694805429).

It is not an unprimeable number, because it can be changed into a prime (1314694805429) 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, 13633009 + ... + 13729104.

Almost surely, 21314694805424 is an apocalyptic number.

1314694805424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314694805424 is an abundant number, since it is smaller than the sum of its proper divisors (3245365665360).

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

1314694805424 is a wasteful number, since it uses less digits than its factorization.

1314694805424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27362155 (or 27362149 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 1314694805424 in words is "one trillion, three hundred fourteen billion, six hundred ninety-four million, eight hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 27362113 54724226 82086339 109448452 164172678 191534791 218896904 300983243 328345356 355707469 383069582 437793808 574604373 601966486 656690712 711414938 766139164 902949729 1067122407 1149208746 1203932972 1313381424 1422829876 1532278328 1805899458 2106882701 2134244814 2298417492 2407865944 2489952283 2845659752 3064556656 3611798916 3912782159 4213765402 4268489628 4596834984 4815731888 4979904566 5691319504 6320648103 7223597832 7469856849 7825564318 8427530804 8536979256 9193669968 9959809132 11738346477 12641296206 14447195664 14939713698 15651128636 16855061608 17073958512 19919618264 23476692954 25282592412 27389475113 29879427396 31302257272 33710123216 39839236528 46953385908 50565184824 54778950226 59758854792 62604514544 82168425339 93906771816 101130369648 109557900452 119517709584 164336850678 187813543632 219115800904 328673701356 438231601808 657347402712 1314694805424