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1312987144 = 2372311031049
BaseRepresentation
bin100111001000010…
…1001100000001000
310101111121122202111
41032100221200020
510142111042034
6334141512104
744352130600
oct11620514010
93344548674
101312987144
11614168747
12307872634
1317c034391
14c6541c00
157a408364
hex4e429808

1312987144 has 96 divisors (see below), whose sum is σ = 2987712000. Its totient is φ = 538755840.

The previous prime is 1312987139. The next prime is 1312987187. The reversal of 1312987144 is 4417892131.

It is a junction number, because it is equal to n+sod(n) for n = 1312987097 and 1312987106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251132 + ... + 1252180.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 21312987144 is an apocalyptic number.

1312987144 is a gapful number since it is divisible by the number (14) 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 1312987144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856000).

1312987144 is an abundant number, since it is smaller than the sum of its proper divisors (1674724856).

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

1312987144 is a wasteful number, since it uses less digits than its factorization.

1312987144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1192 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 1312987144 is about 36235.1644676825. The cubic root of 1312987144 is about 1095.0152257705.

It can be divided in two parts, 1312987 and 144, that added together give a palindrome (1313131).

The spelling of 1312987144 in words is "one billion, three hundred twelve million, nine hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 103 124 196 206 217 248 392 412 434 721 824 868 1049 1442 1519 1736 2098 2884 3038 3193 4196 5047 5768 6076 6386 7343 8392 10094 12152 12772 14686 20188 22351 25544 29372 32519 40376 44702 51401 58744 65038 89404 102802 108047 130076 156457 178808 205604 216094 227633 260152 312914 411208 432188 455266 625828 756329 864376 910532 1251656 1512658 1593431 1821064 3025316 3186862 3349457 5294303 6050632 6373724 6698914 10588606 12747448 13397828 21177212 23446199 26795656 42354424 46892398 93784796 164123393 187569592 328246786 656493572 1312987144