Search a number
-
+
200240134344 = 23341718177209
BaseRepresentation
bin1011101001111100111…
…1011111100011001000
3201010212002010202220000
42322133033133203020
511240042433244334
6231553345003000
720316065026065
oct2723717374310
9633762122800
10200240134344
1177a15376738
1232984023460
1315b61cb91c3
149997d4dc6c
15531e5aa299
hex2e9f3df8c8

200240134344 has 80 divisors (see below), whose sum is σ = 593849450700. Its totient is φ = 62820430848.

The previous prime is 200240134319. The next prime is 200240134403. The reversal of 200240134344 is 443431042002.

It is a happy number.

200240134344 is a `hidden beast` number, since 200 + 24 + 0 + 1 + 3 + 434 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200222241444 + 17892900 = 447462^2 + 4230^2 .

It is a super-2 number, since 2×2002401343442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9077589 + ... + 9099620.

Almost surely, 2200240134344 is an apocalyptic number.

200240134344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200240134344 is an abundant number, since it is smaller than the sum of its proper divisors (393609316356).

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

200240134344 is a wasteful number, since it uses less digits than its factorization.

200240134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18177244 (or 18177231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 200240134344 its reverse (443431042002), we get a palindrome (643671176346).

The spelling of 200240134344 in words is "two hundred billion, two hundred forty million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 18177209 36354418 54531627 72708836 109063254 145417672 163594881 218126508 309012553 327189762 436253016 490784643 618025106 654379524 927037659 981569286 1236050212 1308759048 1472353929 1854075318 1963138572 2472100424 2781112977 2944707858 3708150636 3926277144 5562225954 5889415716 7416301272 8343338931 11124451908 11778831432 16686677862 22248903816 25030016793 33373355724 50060033586 66746711448 100120067172 200240134344