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1316115042 = 23111011791103
BaseRepresentation
bin100111001110010…
…0101001001100010
310101201111120102120
41032130211021202
510143411140132
6334332525110
744420536044
oct11634451142
93351446376
101316115042
11615a04790
12308920796
1317c88acc8
14c6b17a94
157a82502c
hex4e725262

1316115042 has 64 divisors (see below), whose sum is σ = 2918799360. Its totient is φ = 392312000.

The previous prime is 1316115041. The next prime is 1316115067. The reversal of 1316115042 is 2405116131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1316115041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192663 + ... + 1193765.

It is an arithmetic number, because the mean of its divisors is an integer number (45606240).

Almost surely, 21316115042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316115042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459399680).

1316115042 is an abundant number, since it is smaller than the sum of its proper divisors (1602684318).

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

1316115042 is a wasteful number, since it uses less digits than its factorization.

1316115042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1316115042 is about 36278.2998774750. The cubic root of 1316115042 is about 1095.8840790828.

It can be divided in two parts, 13161 and 15042, that added together give a triangular number (28203 = T237).

The spelling of 1316115042 in words is "one billion, three hundred sixteen million, one hundred fifteen thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 179 202 303 358 537 606 1074 1103 1111 1969 2206 2222 3309 3333 3938 5907 6618 6666 11814 12133 18079 24266 36158 36399 54237 72798 108474 111403 197437 198869 222806 334209 394874 397738 592311 596607 668418 1184622 1193214 1225433 2171807 2450866 3676299 4343614 6515421 7352598 13030842 19941137 39882274 59823411 119646822 219352507 438705014 658057521 1316115042