Search a number
-
+
1311630400140 = 2235179127140891
BaseRepresentation
bin10011000101100011010…
…000111001101010001100
311122101112202222222212220
4103011203100321222030
5132442204340301030
62442315451255340
7163522265306454
oct23054320715214
94571482888786
101311630400140
11466294191a35
1219225244a550
13968bc802808
14476aa076d64
15241b9ed9a10
hex13163439a8c

1311630400140 has 96 divisors (see below), whose sum is σ = 3889052020224. Its totient is φ = 329155107840.

The previous prime is 1311630400117. The next prime is 1311630400141. The reversal of 1311630400140 is 410040361131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311630400140.

It is not an unprimeable number, because it can be changed into a prime (1311630400141) 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, 9239095 + ... + 9379985.

It is an arithmetic number, because the mean of its divisors is an integer number (40510958544).

Almost surely, 21311630400140 is an apocalyptic number.

1311630400140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311630400140 is an abundant number, since it is smaller than the sum of its proper divisors (2577421620084).

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

1311630400140 is a wasteful number, since it uses less digits than its factorization.

1311630400140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150047 (or 150045 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1311630400140 its reverse (410040361131), we get a palindrome (1721670761271).

The spelling of 1311630400140 in words is "one trillion, three hundred eleven billion, six hundred thirty million, four hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 9127 18254 27381 36508 45635 54762 91270 109524 136905 140891 155159 182540 273810 281782 310318 422673 465477 547620 563564 620636 704455 775795 845346 930954 1408910 1551590 1690692 1861908 2113365 2327385 2395147 2817820 3103180 4226730 4654770 4790294 7185441 8453460 9309540 9580588 11975735 14370882 23951470 28741764 35927205 47902940 71854410 143708820 1285912157 2571824314 3857736471 5143648628 6429560785 7715472942 12859121570 15430945884 19288682355 21860506669 25718243140 38577364710 43721013338 65581520007 77154729420 87442026676 109302533345 131163040014 218605066690 262326080028 327907600035 437210133380 655815200070 1311630400140