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1311412344 = 2331123316967
BaseRepresentation
bin100111000101010…
…1001000001111000
310101101122122112120
41032022221001320
510141210143334
6334044041240
744332551414
oct11612510170
93341578476
101311412344
11613292560
12307233220
1317b902648
14c6251d44
157a1e6949
hex4e2a9078

1311412344 has 128 divisors (see below), whose sum is σ = 3853025280. Its totient is φ = 367804800.

The previous prime is 1311412339. The next prime is 1311412363. The reversal of 1311412344 is 4432141131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184749 + ... + 191715.

It is an arithmetic number, because the mean of its divisors is an integer number (30101760).

Almost surely, 21311412344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926512640).

1311412344 is an abundant number, since it is smaller than the sum of its proper divisors (2541612936).

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

1311412344 is a wasteful number, since it uses less digits than its factorization.

1311412344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7037 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1311412344 is about 36213.4276753803. The cubic root of 1311412344 is about 1094.5772626435.

Adding to 1311412344 its reverse (4432141131), we get a palindrome (5743553475).

The spelling of 1311412344 in words is "one billion, three hundred eleven million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 31 33 44 46 62 66 69 88 92 93 124 132 138 184 186 248 253 264 276 341 372 506 552 682 713 744 759 1012 1023 1364 1426 1518 2024 2046 2139 2728 2852 3036 4092 4278 5704 6072 6967 7843 8184 8556 13934 15686 17112 20901 23529 27868 31372 41802 47058 55736 62744 76637 83604 94116 153274 160241 167208 188232 215977 229911 306548 320482 431954 459822 480723 613096 640964 647931 863908 919644 961446 1281928 1295862 1727816 1762651 1839288 1922892 2375747 2591724 3525302 3845784 4751494 4967471 5183448 5287953 7050604 7127241 9502988 9934942 10575906 14101208 14254482 14902413 19005976 19869884 21151812 28508964 29804826 39739768 42303624 54642181 57017928 59609652 109284362 119219304 163926543 218568724 327853086 437137448 655706172 1311412344