Search a number
-
+
41331122113314 = 23115910614052931
BaseRepresentation
bin10010110010111001001101…
…10110100000101100100010
312102100012211222000122000010
421121130212312200230202
520404132114230111224
6223523131054505350
711464034510240355
oct1131344666405442
9172305758018003
1041331122113314
1112195480a29670
1247762b9205256
131a0a67b37ac67
14a2c61912629c
154ba1b601de29
hex259726da0b22

41331122113314 has 32 divisors (see below), whose sum is σ = 91705417332480. Its totient is φ = 12312301398800.

The previous prime is 41331122113283. The next prime is 41331122113349.

It is a happy number.

41331122113314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5307022572 + ... + 5307030359.

It is an arithmetic number, because the mean of its divisors is an integer number (2865794291640).

Almost surely, 241331122113314 is an apocalyptic number.

41331122113314 is an abundant number, since it is smaller than the sum of its proper divisors (50374295219166).

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

41331122113314 is a wasteful number, since it uses less digits than its factorization.

41331122113314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614053006.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 4133112 and 2113314, that added together give a palindrome (6246426).

The spelling of 41331122113314 in words is "forty-one trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1947 3894 10614052931 21228105862 31842158793 63684317586 116754582241 233509164482 350263746723 626229122929 700527493446 1252458245858 1878687368787 3757374737574 6888520352219 13777040704438 20665561056657 41331122113314