Search a number
-
+
200240410320 = 243251012753581
BaseRepresentation
bin1011101001111101000…
…0100010111011010000
3201010212002122210110100
42322133100202323100
511240043021112240
6231553354532400
720316100255506
oct2723720427320
9633762583410
10200240410320
1177a15545015
1232984137100
1315b620849c2
149997dc2676
15531e611e30
hex2e9f422ed0

200240410320 has 120 divisors (see below), whose sum is σ = 679132450152. Its totient is φ = 52868736000.

The previous prime is 200240410289. The next prime is 200240410343. The reversal of 200240410320 is 23014042002.

200240410320 is a `hidden beast` number, since 200 + 24 + 0 + 410 + 32 + 0 = 666.

200240410320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42729850944 + 157510559376 = 206712^2 + 396876^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200240410293 and 200240410302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304071 + ... + 1449510.

Almost surely, 2200240410320 is an apocalyptic number.

200240410320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200240410320 is an abundant number, since it is smaller than the sum of its proper divisors (478892039832).

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

200240410320 is a wasteful number, since it uses less digits than its factorization.

200240410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753701 (or 2753692 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200240410320 its reverse (23014042002), we get a palindrome (223254452322).

The spelling of 200240410320 in words is "two hundred billion, two hundred forty million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 404 505 606 720 808 909 1010 1212 1515 1616 1818 2020 2424 3030 3636 4040 4545 4848 6060 7272 8080 9090 12120 14544 18180 24240 36360 72720 2753581 5507162 8260743 11014324 13767905 16521486 22028648 24782229 27535810 33042972 41303715 44057296 49564458 55071620 66085944 82607430 99128916 110143240 123911145 132171888 165214860 198257832 220286480 247822290 278111681 330429720 396515664 495644580 556223362 660859440 834335043 991289160 1112446724 1390558405 1668670086 1982578320 2224893448 2503005129 2781116810 3337340172 4171675215 4449786896 5006010258 5562233620 6674680344 8343350430 10012020516 11124467240 12515025645 13349360688 16686700860 20024041032 22248934480 25030051290 33373401720 40048082064 50060102580 66746803440 100120205160 200240410320