Search a number
-
+
140441513344 = 2711211038221
BaseRepresentation
bin1000001011001011110…
…1110110110110000000
3111102111121111002012021
42002302331312312000
54300111011411334
6144303513011224
713101162111136
oct2026275666600
9442447432167
10140441513344
1154619633700
12232756b3b14
13103221a9bb2
146b2411b756
1539be8853b4
hex20b2f76d80

140441513344 has 96 divisors (see below), whose sum is σ = 307849439520. Its totient is φ = 63771417600.

The previous prime is 140441513257. The next prime is 140441513371. The reversal of 140441513344 is 443315144041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17079154 + ... + 17087374.

It is an arithmetic number, because the mean of its divisors is an integer number (3206764995).

Almost surely, 2140441513344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140441513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153924719760).

140441513344 is an abundant number, since it is smaller than the sum of its proper divisors (167407926176).

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

140441513344 is a wasteful number, since it uses less digits than its factorization.

140441513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9337 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 140441513344 its reverse (443315144041), we get a palindrome (583756657385).

The spelling of 140441513344 in words is "one hundred forty billion, four hundred forty-one million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1103 1408 1936 2206 3872 4412 7744 8221 8824 12133 15488 16442 17648 24266 32884 35296 48532 65768 70592 90431 97064 131536 133463 141184 180862 194128 263072 266926 361724 388256 526144 533852 723448 776512 994741 1052288 1067704 1446896 1553024 1989482 2135408 2893792 3978964 4270816 5787584 7957928 8541632 9067763 11575168 15915856 17083264 18135526 31831712 36271052 63663424 72542104 99745393 127326848 145084208 199490786 290168416 398981572 580336832 797963144 1097199323 1160673664 1595926288 2194398646 3191852576 4388797292 6383705152 8777594584 12767410304 17555189168 35110378336 70220756672 140441513344