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1315330252240 = 2451271996311031
BaseRepresentation
bin10011001000111111110…
…010101101110111010000
311122202002121220221211011
4103020333302231313100
5133022244021032430
62444130540100304
7164013052446334
oct23107762556720
94582077827734
101315330252240
11467912700644
12192b05534694
139705c1a4004
144793b5b97c4
1524334c2222a
hex1323fcaddd0

1315330252240 has 160 divisors (see below), whose sum is σ = 3105629798400. Its totient is φ = 518040230400.

The previous prime is 1315330252217. The next prime is 1315330252241. The reversal of 1315330252240 is 422520335131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315330252241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275780525 + ... + 1275781555.

It is an arithmetic number, because the mean of its divisors is an integer number (19410186240).

Almost surely, 21315330252240 is an apocalyptic number.

1315330252240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315330252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552814899200).

1315330252240 is an abundant number, since it is smaller than the sum of its proper divisors (1790299546160).

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

1315330252240 is a wasteful number, since it uses less digits than its factorization.

1315330252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1315330252240 its reverse (422520335131), we get a palindrome (1737850587371).

The spelling of 1315330252240 in words is "one trillion, three hundred fifteen billion, three hundred thirty million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 199 254 398 508 631 635 796 995 1016 1031 1262 1270 1592 1990 2032 2062 2524 2540 3155 3184 3980 4124 5048 5080 5155 6310 7960 8248 10096 10160 10310 12620 15920 16496 20620 25240 25273 41240 50480 50546 80137 82480 101092 125569 126365 130937 160274 202184 205169 251138 252730 261874 320548 400685 404368 410338 502276 505460 523748 627845 641096 650561 654685 801370 820676 1004552 1010920 1025845 1047496 1255690 1282192 1301122 1309370 1602740 1641352 2009104 2021840 2051690 2094992 2511380 2602244 2618740 3205480 3252805 3282704 4103380 5022760 5204488 5237480 6410960 6505610 8206760 10045520 10408976 10474960 13011220 15947263 16413520 26022440 26056463 31894526 52044880 52112926 63789052 79736315 82621247 104225852 127578104 129461639 130282315 159472630 165242494 208451704 255156208 258923278 260564630 318945260 330484988 413106235 416903408 517846556 521129260 637890520 647308195 660969976 826212470 1035693112 1042258520 1275781040 1294616390 1321939952 1652424940 2071386224 2084517040 2589232780 3304849880 5178465560 6609699760 10356931120 16441628153 32883256306 65766512612 82208140765 131533025224 164416281530 263066050448 328832563060 657665126120 1315330252240