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1312143140 = 2257111077963
BaseRepresentation
bin100111000110101…
…1011011100100100
310101110000210000002
41032031123130210
510141402040030
6334111440432
744342014130
oct11615333444
93343023002
101312143140
11613741620
12307526118
1317baca179
14c63a23c0
157a2dd245
hex4e35b724

1312143140 has 96 divisors (see below), whose sum is σ = 3467971584. Its totient is φ = 405106560.

The previous prime is 1312143137. The next prime is 1312143167. The reversal of 1312143140 is 413412131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160799 + ... + 168761.

It is an arithmetic number, because the mean of its divisors is an integer number (36124704).

Almost surely, 21312143140 is an apocalyptic number.

1312143140 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 1312143140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733985792).

1312143140 is an abundant number, since it is smaller than the sum of its proper divisors (2155828444).

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

1312143140 is a wasteful number, since it uses less digits than its factorization.

1312143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1312143140 is about 36223.5163947400. The cubic root of 1312143140 is about 1094.7805458058.

Adding to 1312143140 its reverse (413412131), we get a palindrome (1725555271).

The spelling of 1312143140 in words is "one billion, three hundred twelve million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 140 154 214 220 308 385 428 535 749 770 1070 1177 1498 1540 2140 2354 2996 3745 4708 5885 7490 7963 8239 11770 14980 15926 16478 23540 31852 32956 39815 41195 55741 79630 82390 87593 111482 159260 164780 175186 222964 278705 350372 437965 557410 613151 852041 875930 1114820 1226302 1704082 1751860 2452604 3065755 3408164 4260205 5964287 6131510 8520410 9372451 11928574 12263020 17040820 18744902 23857148 29821435 37489804 46862255 59642870 65607157 93724510 119285740 131214314 187449020 262428628 328035785 656071570 1312143140