Search a number
-
+
421432240031131 = 72311395101391291
BaseRepresentation
bin101111111010010100101011…
…0111101101100010110011011
32001021011112021102000200200111
41133310221112331230112123
5420214221211421444011
64052151144235345151
7154524321530240200
oct13764512675542633
92037145242020614
10421432240031131
1111231045586654a
123b3244845b21b7
131511cb74909b44
14760d601c17ca7
1533ac646726121
hex17f4a56f6c59b

421432240031131 has 48 divisors (see below), whose sum is σ = 509793498762240. Its totient is φ = 346991276520000.

The previous prime is 421432240031123. The next prime is 421432240031141. The reversal of 421432240031131 is 131130042234124.

It is a happy number.

It is not a de Polignac number, because 421432240031131 - 23 = 421432240031123 is a prime.

It is a super-2 number, since 2×4214322400311312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 421432240031093 and 421432240031102.

It is not an unprimeable number, because it can be changed into a prime (421432240031141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076834596 + ... + 1077225886.

It is an arithmetic number, because the mean of its divisors is an integer number (10620697890880).

Almost surely, 2421432240031131 is an apocalyptic number.

421432240031131 is a deficient number, since it is larger than the sum of its proper divisors (88361258731109).

421432240031131 is a wasteful number, since it uses less digits than its factorization.

421432240031131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396576 (or 396569 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 421432240031131 its reverse (131130042234124), we get a palindrome (552562282265255).

The spelling of 421432240031131 in words is "four hundred twenty-one trillion, four hundred thirty-two billion, two hundred forty million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 31 49 139 217 973 1519 4309 5101 6811 30163 35707 158131 211141 249949 391291 709039 1106917 2739037 4963273 7748419 12130021 19173259 21980209 34742911 54389449 84910147 153861463 380726143 594371029 1077030241 1686072919 1995975391 2665083001 11802510433 13971827737 61875237121 82617573031 97802794159 277440579349 433126659847 1942084055443 3031886618929 8600657959819 13594588388101 60204605718733 421432240031131