Search a number
-
+
113120444040 = 233513152313759
BaseRepresentation
bin110100101011010000…
…0001111111010001000
3101210222120001221212120
41221112200033322020
53323132313202130
6123544455411240
711113141623642
oct1512640177210
9353876057776
10113120444040
1143a795a598a
1219b0b983b20
13a889b324b6
1456917bd892
152e2102d910
hex1a5680fe88

113120444040 has 128 divisors (see below), whose sum is σ = 342630604800. Its totient is φ = 29875772160.

The previous prime is 113120444033. The next prime is 113120444069. The reversal of 113120444040 is 40444021311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113120444040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8214681 + ... + 8228439.

It is an arithmetic number, because the mean of its divisors is an integer number (2676801600).

Almost surely, 2113120444040 is an apocalyptic number.

113120444040 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 113120444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171315302400).

113120444040 is an abundant number, since it is smaller than the sum of its proper divisors (229510160760).

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

113120444040 is a wasteful number, since it uses less digits than its factorization.

113120444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14427 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 113120444040 its reverse (40444021311), we get a palindrome (153564465351).

The spelling of 113120444040 in words is "one hundred thirteen billion, one hundred twenty million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 523 524 655 786 1046 1048 1310 1569 1572 1965 2092 2615 2620 3138 3144 3930 4184 5230 5240 6276 7845 7860 10460 12552 13759 15690 15720 20920 27518 31380 41277 55036 62760 68513 68795 82554 110072 137026 137590 165108 205539 206385 274052 275180 330216 342565 411078 412770 548104 550360 685130 822156 825540 1027695 1370260 1644312 1651080 1802429 2055390 2740520 3604858 4110780 5407287 7195957 7209716 8221560 9012145 10814574 14391914 14419432 18024290 21587871 21629148 27036435 28783828 35979785 36048580 43175742 43258296 54072870 57567656 71959570 72097160 86351484 107939355 108145740 143919140 172702968 215878710 216291480 287838280 431757420 863514840 942670367 1885340734 2828011101 3770681468 4713351835 5656022202 7541362936 9426703670 11312044404 14140055505 18853407340 22624088808 28280111010 37706814680 56560222020 113120444040