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1311204144 = 243297113267
BaseRepresentation
bin100111000100111…
…0110001100110000
310101101021001221110
41032021312030300
510141132013034
6334035353320
744331023415
oct11611661460
93341231843
101311204144
11613160098
12307152840
1317b85b953
14c61da10c
157a1a4de9
hex4e276330

1311204144 has 80 divisors (see below), whose sum is σ = 3553701120. Its totient is φ = 416021760.

The previous prime is 1311204143. The next prime is 1311204161. The reversal of 1311204144 is 4414021131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311204144.

It is not an unprimeable number, because it can be changed into a prime (1311204143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92199 + ... + 105465.

It is an arithmetic number, because the mean of its divisors is an integer number (44421264).

Almost surely, 21311204144 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 1311204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776850560).

1311204144 is an abundant number, since it is smaller than the sum of its proper divisors (2242496976).

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

1311204144 is a wasteful number, since it uses less digits than its factorization.

1311204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1311204144 is about 36210.5529369547. The cubic root of 1311204144 is about 1094.5193345001.

Adding to 1311204144 its reverse (4414021131), we get a palindrome (5725225275).

The spelling of 1311204144 in words is "one billion, three hundred eleven million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 71 87 116 142 174 213 232 284 348 426 464 568 696 852 1136 1392 1704 2059 3408 4118 6177 8236 12354 13267 16472 24708 26534 32944 39801 49416 53068 79602 98832 106136 159204 212272 318408 384743 636816 769486 941957 1154229 1538972 1883914 2308458 2825871 3077944 3767828 4616916 5651742 6155888 7535656 9233832 11303484 15071312 18467664 22606968 27316753 45213936 54633506 81950259 109267012 163900518 218534024 327801036 437068048 655602072 1311204144