Search a number
-
+
400131202214212 = 2271091107991212931
BaseRepresentation
bin101101011111010101100111…
…0001010111110100101000100
31221110202011120110101011121221
41122332223032022332211010
5404421222200231323322
63535001423041450124
7150165345126226360
oct13276531612764504
91843664513334557
10400131202214212
11106548765284097
1238a64136040944
1314236297510831
1470b464c65c2a0
15313d4e67b89c7
hex16beace2be944

400131202214212 has 48 divisors (see below), whose sum is σ = 801070750771200. Its totient is φ = 171311613271200.

The previous prime is 400131202214201. The next prime is 400131202214213. The reversal of 400131202214212 is 212412202131004.

It is a super-2 number, since 2×4001312022142122 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400131202214213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329281387 + ... + 330494317.

It is an arithmetic number, because the mean of its divisors is an integer number (16688973974400).

Almost surely, 2400131202214212 is an apocalyptic number.

It is an amenable number.

400131202214212 is an abundant number, since it is smaller than the sum of its proper divisors (400939548556988).

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

400131202214212 is a wasteful number, since it uses less digits than its factorization.

400131202214212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224832 (or 1224830 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 400131202214212 its reverse (212412202131004), we get a palindrome (612543404345216).

The spelling of 400131202214212 in words is "four hundred trillion, one hundred thirty-one billion, two hundred two million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 1091 2182 4364 7637 10799 15274 21598 30548 43196 75593 151186 302372 1212931 2425862 4851724 8490517 11781709 16981034 23563418 33962068 47126836 82471963 164943926 329887852 1323307721 2646615442 5293230884 9263154047 13098441869 18526308094 26196883738 37052616188 52393767476 91689093083 183378186166 366756372332 14290400079079 28580800158158 57161600316316 100032800553553 200065601107106 400131202214212