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40212412224 = 263375660531
BaseRepresentation
bin100101011100110110…
…001011011101000000
310211210110202012021220
4211130312023131000
51124323334142344
630250123315040
72622333602265
oct453466133500
9124713665256
1040212412224
1116065949536
12796307ba80
133a3b09437a
141d368a126c
1510a5493c19
hex95cd8b740

40212412224 has 56 divisors (see below), whose sum is σ = 109270909728. Its totient is φ = 13041861120.

The previous prime is 40212412223. The next prime is 40212412237. The reversal of 40212412224 is 42221421204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40212412194 and 40212412203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212412223) 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 7 ways as a sum of consecutive naturals, for example, 2823162 + ... + 2837369.

Almost surely, 240212412224 is an apocalyptic number.

It is an amenable number.

40212412224 is an abundant number, since it is smaller than the sum of its proper divisors (69058497504).

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

40212412224 is a wasteful number, since it uses less digits than its factorization.

40212412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660583 (or 5660573 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40212412224 its reverse (42221421204), we get a palindrome (82433833428).

The spelling of 40212412224 in words is "forty billion, two hundred twelve million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 5660531 11321062 16981593 22642124 33963186 45284248 67926372 90568496 135852744 181136992 209439647 271705488 362273984 418879294 543410976 628318941 837758588 1086821952 1256637882 1675517176 2513275764 3351034352 5026551528 6702068704 10053103056 13404137408 20106206112 40212412224