Search a number
-
+
1310231304240 = 243515734772593
BaseRepresentation
bin10011000100001111110…
…111110001100000110000
311122020221021100120010020
4103010033313301200300
5132431323203213430
62441524552003440
7163442516220615
oct23041767614060
94566837316106
101310231304240
11465736460531
12191b21990580
13967289ac711
14475b631c50c
1524137272b10
hex1310fdf1830

1310231304240 has 80 divisors (see below), whose sum is σ = 4087587969888. Its totient is φ = 347169558528.

The previous prime is 1310231304209. The next prime is 1310231304293. The reversal of 1310231304240 is 424031320131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13102313042402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1310231304240.

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 15 ways as a sum of consecutive naturals, for example, 17348617 + ... + 17423976.

Almost surely, 21310231304240 is an apocalyptic number.

1310231304240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310231304240 is an abundant number, since it is smaller than the sum of its proper divisors (2777356665648).

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

1310231304240 is a wasteful number, since it uses less digits than its factorization.

1310231304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34772766 (or 34772760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1310231304240 its reverse (424031320131), we get a palindrome (1734262624371).

The spelling of 1310231304240 in words is "one trillion, three hundred ten billion, two hundred thirty-one 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 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12560 18840 37680 34772593 69545186 104317779 139090372 173862965 208635558 278180744 347725930 417271116 521588895 556361488 695451860 834542232 1043177790 1390903720 1669084464 2086355580 2781807440 4172711160 5459297101 8345422320 10918594202 16377891303 21837188404 27296485505 32755782606 43674376808 54592971010 65511565212 81889456515 87348753616 109185942020 131023130424 163778913030 218371884040 262046260848 327557826060 436743768080 655115652120 1310231304240