Search a number
-
+
21214140313224 = 23319400311621843
BaseRepresentation
bin1001101001011010011010…
…10011000010111010001000
32210010001101220122221202210
410310231031103002322020
510240033024410010344
6113041350322425120
74316446113266625
oct464551523027210
983101356587683
1021214140313224
116839959178801
1224675388021a0
13bab63c297391
14534aac74534c
1526bc6616ddb9
hex134b4d4c2e88

21214140313224 has 64 divisors (see below), whose sum is σ = 55840636051200. Its totient is φ = 6697528082496.

The previous prime is 21214140313213. The next prime is 21214140313277. The reversal of 21214140313224 is 42231304141212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21214140313191 and 21214140313200.

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, 3985554 + ... + 7636289.

It is an arithmetic number, because the mean of its divisors is an integer number (872509938300).

Almost surely, 221214140313224 is an apocalyptic number.

21214140313224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21214140313224 is an abundant number, since it is smaller than the sum of its proper divisors (34626495737976).

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

21214140313224 is a wasteful number, since it uses less digits than its factorization.

21214140313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11625874 (or 11625870 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 21214140313224 its reverse (42231304141212), we get a palindrome (63445444454436).

The spelling of 21214140313224 in words is "twenty-one trillion, two hundred fourteen billion, one hundred forty million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 4003 8006 12009 16012 24018 32024 48036 76057 96072 152114 228171 304228 456342 608456 912684 1825368 11621843 23243686 34865529 46487372 69731058 92974744 139462116 220815017 278924232 441630034 662445051 883260068 1324890102 1766520136 2649780204 5299560408 46522237529 93044475058 139566712587 186088950116 279133425174 372177900232 558266850348 883922513051 1116533700696 1767845026102 2651767539153 3535690052204 5303535078306 7071380104408 10607070156612 21214140313224