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232738118040 = 233515134633709
BaseRepresentation
bin1101100011000001000…
…1011101100110011000
3211020201220211101200210
43120300101131212120
512303121424234130
6254530213331120
722546316235201
oct3306021354630
9736656741623
10232738118040
118a7816668aa
1239133636aa0
1318c40a55a5c
14b39c0425a8
1560c26625b0
hex363045d998

232738118040 has 128 divisors (see below), whose sum is σ = 703230796800. Its totient is φ = 61618060800.

The previous prime is 232738117973. The next prime is 232738118051. The reversal of 232738118040 is 40811837232.

232738118040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232738118040.

It is a congruent number.

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, 62747706 + ... + 62751414.

It is an arithmetic number, because the mean of its divisors is an integer number (5493990600).

Almost surely, 2232738118040 is an apocalyptic number.

232738118040 is a gapful number since it is divisible by the number (20) 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 232738118040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351615398400).

232738118040 is an abundant number, since it is smaller than the sum of its proper divisors (470492678760).

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

232738118040 is a wasteful number, since it uses less digits than its factorization.

232738118040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7337 (or 7333 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 232738118040 in words is "two hundred thirty-two billion, seven hundred thirty-eight million, one hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3463 3624 3709 4530 6040 6926 7418 9060 10389 11127 13852 14836 17315 18120 18545 20778 22254 27704 29672 34630 37090 41556 44508 51945 55635 69260 74180 83112 89016 103890 111270 138520 148360 207780 222540 415560 445080 522913 560059 1045826 1120118 1568739 1680177 2091652 2240236 2614565 2800295 3137478 3360354 4183304 4480472 5229130 5600590 6274956 6720708 7843695 8400885 10458260 11201180 12549912 12844267 13441416 15687390 16801770 20916520 22402360 25688534 31374780 33603540 38532801 51377068 62749560 64221335 67207080 77065602 102754136 128442670 154131204 192664005 256885340 308262408 385328010 513770680 770656020 1541312040 1939484317 3878968634 5818452951 7757937268 9697421585 11636905902 15515874536 19394843170 23273811804 29092264755 38789686340 46547623608 58184529510 77579372680 116369059020 232738118040