Search a number
-
+
200412540240 = 24351175913841
BaseRepresentation
bin1011101010100110000…
…1001010110101010000
3201011022002112220022120
42322221201022311100
511240421102241430
6232022424134240
720323260325143
oct2725141126520
9634262486276
10200412540240
1177aa3721850
1232a11907380
1315b8b931623
1499b2bcc05a
15532e7b3610
hex2ea984ad50

200412540240 has 80 divisors (see below), whose sum is σ = 677758781376. Its totient is φ = 48584857600.

The previous prime is 200412540233. The next prime is 200412540241. The reversal of 200412540240 is 42045214002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 200412540240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200412540241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37954281 + ... + 37959560.

Almost surely, 2200412540240 is an apocalyptic number.

200412540240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200412540240 is an abundant number, since it is smaller than the sum of its proper divisors (477346241136).

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

200412540240 is a wasteful number, since it uses less digits than its factorization.

200412540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75913868 (or 75913862 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 200412540240 its reverse (42045214002), we get a palindrome (242457754242).

The spelling of 200412540240 in words is "two hundred billion, four hundred twelve million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 75913841 151827682 227741523 303655364 379569205 455483046 607310728 759138410 835052251 910966092 1138707615 1214621456 1518276820 1670104502 1821932184 2277415230 2505156753 3036553640 3340209004 3643864368 4175261255 4554830460 5010313506 6073107280 6680418008 8350522510 9109660920 10020627012 12525783765 13360836016 16701045020 18219321840 20041254024 25051567530 33402090040 40082508048 50103135060 66804180080 100206270120 200412540240