Search a number
-
+
400141331244 = 223261986320807
BaseRepresentation
bin1011101001010100100…
…10000010101100101100
31102020211112111202000100
411310222102002230230
523023442140044434
6503453345231100
740623606124314
oct5645222025454
91366745452010
10400141331244
11144776393686
1265672632490
132b96b9c35b5
141551cc72444
15a61e014699
hex5d2a482b2c

400141331244 has 72 divisors (see below), whose sum is σ = 1014325079040. Its totient is φ = 133004269152.

The previous prime is 400141331243. The next prime is 400141331251. The reversal of 400141331244 is 442133141004.

400141331244 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 413 + 3 + 1 + 244 = 666.

It is a super-2 number, since 2×4001413312442 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400141331243) 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 23 ways as a sum of consecutive naturals, for example, 19220689 + ... + 19241495.

It is an arithmetic number, because the mean of its divisors is an integer number (14087848320).

Almost surely, 2400141331244 is an apocalyptic number.

It is an amenable number.

400141331244 is an abundant number, since it is smaller than the sum of its proper divisors (614183747796).

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

400141331244 is a wasteful number, since it uses less digits than its factorization.

400141331244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22299 (or 22294 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 400141331244 its reverse (442133141004), we get a palindrome (842274472248).

The spelling of 400141331244 in words is "four hundred billion, one hundred forty-one million, three hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 619 863 1238 1726 1857 2476 2589 3452 3714 5178 5571 7428 7767 10356 11142 15534 20807 22284 31068 41614 62421 83228 124842 187263 249684 374526 534197 749052 1068394 1602591 2136788 3205182 4807773 6410364 9615546 12879533 17956441 19231092 25759066 35912882 38638599 51518132 53869323 71825764 77277198 107738646 115915797 154554396 161607969 215477292 231831594 323215938 463663188 646431876 11115036979 22230073958 33345110937 44460147916 66690221874 100035332811 133380443748 200070665622 400141331244