Search a number
-
+
316106462304240 = 243522214561130021
BaseRepresentation
bin100011111011111110100010…
…1011001011001011111110000
31112110020111000212022210200220
41013313331011121121133300
5312413042013322213430
63040145145401013040
7123403636550246316
oct10767750531313760
91473214025283626
10316106462304240
11917a2aa81018a3
122b553672784180
131074c9331b290a
14580b8c4b660b6
1526829c3e7b110
hex11f7f456597f0

316106462304240 has 160 divisors (see below), whose sum is σ = 980593732633152. Its totient is φ = 84237981696000.

The previous prime is 316106462304223. The next prime is 316106462304253. The reversal of 316106462304240 is 42403264601613.

It is a junction number, because it is equal to n+sod(n) for n = 316106462304192 and 316106462304201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2431130430 + ... + 2431260450.

Almost surely, 2316106462304240 is an apocalyptic number.

316106462304240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316106462304240 is an abundant number, since it is smaller than the sum of its proper divisors (664487270328912).

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

316106462304240 is a wasteful number, since it uses less digits than its factorization.

316106462304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136819 (or 136813 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 316106462304240 in words is "three hundred sixteen trillion, one hundred six billion, four hundred sixty-two million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2221 4442 4561 6663 8884 9122 11105 13326 13683 17768 18244 22210 22805 26652 27366 33315 35536 36488 44420 45610 53304 54732 66630 68415 72976 88840 91220 106608 109464 130021 133260 136830 177680 182440 218928 260042 266520 273660 364880 390063 520084 533040 547320 650105 780126 1040168 1094640 1300210 1560252 1950315 2080336 2600420 3120504 3900630 5200840 6241008 7801260 10129981 10401680 15602520 20259962 30389943 31205040 40519924 50649905 60779886 81039848 101299810 121559772 151949715 162079696 202599620 243119544 288776641 303899430 405199240 486239088 577553282 593025781 607798860 810398480 866329923 1155106564 1186051562 1215597720 1443883205 1732659846 1779077343 2310213128 2372103124 2431195440 2887766410 2965128905 3465319692 3558154686 4331649615 4620426256 4744206248 5775532820 5930257810 6930639384 7116309372 8663299230 8895386715 9488412496 11551065640 11860515620 13861278768 14232618744 17326598460 17790773430 23102131280 23721031240 28465237488 34653196920 35581546860 47442062480 69306393840 71163093720 142326187440 1317110259601 2634220519202 3951330778803 5268441038404 6585551298005 7902661557606 10536882076808 13171102596010 15805323115212 19756653894015 21073764153616 26342205192020 31610646230424 39513307788030 52684410384040 63221292460848 79026615576060 105368820768080 158053231152120 316106462304240