Search a number
-
+
40231413222 = 237111316740111
BaseRepresentation
bin100101011101111110…
…101010010111100110
310211211210111112202120
4211131332222113212
51124343220210342
630252042450410
72622654240630
oct453576522746
9124753445676
1040231413222
1116075647240
127969503a06
133a41cb7b70
141d39209a50
1510a6e98aec
hex95dfaa5e6

40231413222 has 128 divisors (see below), whose sum is σ = 108683624448. Its totient is φ = 9587894400.

The previous prime is 40231413203. The next prime is 40231413227. The reversal of 40231413222 is 22231413204.

It is a happy number.

It is a super-3 number, since 3×402314132223 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40231413192 and 40231413201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40231413227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 982947 + ... + 1023057.

It is an arithmetic number, because the mean of its divisors is an integer number (849090816).

Almost surely, 240231413222 is an apocalyptic number.

40231413222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40231413222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54341812224).

40231413222 is an abundant number, since it is smaller than the sum of its proper divisors (68452211226).

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

40231413222 is a wasteful number, since it uses less digits than its factorization.

40231413222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40314.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40231413222 its reverse (22231413204), we get a palindrome (62462826426).

The spelling of 40231413222 in words is "forty billion, two hundred thirty-one million, four hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 167 182 231 273 286 334 429 462 501 546 858 1001 1002 1169 1837 2002 2171 2338 3003 3507 3674 4342 5511 6006 6513 7014 11022 12859 13026 15197 23881 25718 30394 38577 40111 45591 47762 71643 77154 80222 91182 120333 143286 167167 240666 280777 334334 441221 501501 521443 561554 842331 882442 1003002 1042886 1323663 1564329 1684662 2647326 3088547 3128658 3650101 5735873 6177094 6698537 7300202 9265641 10950303 11471746 13397074 17207619 18531282 20095611 21900606 34415238 40151111 40191222 46889759 73683907 80302222 87080981 93779518 120453333 140669277 147367814 174161962 221051721 240906666 261242943 281338554 442103442 515787349 522485886 609566867 957890791 1031574698 1219133734 1547362047 1828700601 1915781582 2873672373 3094724094 3657401202 5747344746 6705235537 13410471074 20115706611 40231413222