Search a number
-
+
200440142110131 = 371123337111947651
BaseRepresentation
bin101101100100110010011011…
…011110000001110110110011
3222021200220001010122220111220
4231210302123132001312303
5202233002402340011011
61550144532522240123
760135215401445550
oct5544623336016663
9867626033586456
10200440142110131
1158959206837180
121a592786056043
1387ac5692483c1
14376d4d71c7a27
151828d94b91506
hexb64c9b781db3

200440142110131 has 64 divisors (see below), whose sum is σ = 348717831561216. Its totient is φ = 99302043456000.

The previous prime is 200440142110111. The next prime is 200440142110217. The reversal of 200440142110131 is 131011241044002.

It is a happy number.

It is not a de Polignac number, because 200440142110131 - 215 = 200440142077363 is a prime.

It is a super-2 number, since 2×2004401421101312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200440142110111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54183345 + ... + 57764306.

It is an arithmetic number, because the mean of its divisors is an integer number (5448716118144).

Almost surely, 2200440142110131 is an apocalyptic number.

200440142110131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200440142110131 is a deficient number, since it is larger than the sum of its proper divisors (148277689451085).

200440142110131 is a wasteful number, since it uses less digits than its factorization.

200440142110131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111948032.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 200440142110131 its reverse (131011241044002), we get a palindrome (331451383154133).

The spelling of 200440142110131 in words is "two hundred trillion, four hundred forty billion, one hundred forty-two million, one hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 337 483 759 1011 1771 2359 3707 5313 7077 7751 11121 23253 25949 54257 77847 85261 162771 255783 596827 1790481 111947651 335842953 783633557 1231424161 2350900671 2574795973 3694272483 7724387919 8619969127 18023571811 25859907381 28322755703 37726358387 54070715433 84968267109 113179075161 198259289921 264084508709 414989942257 594777869763 792253526127 867706242901 1244969826771 2603118728703 2904929595799 6073943700307 8714788787397 9544768671911 18221831100921 28634306015733 66813380703377 200440142110131