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40310444022132 = 22329210133394187
BaseRepresentation
bin10010010101001100000011…
…01100100101100101110100
312021201122022011010100001010
421022212001230211211310
520240421242132202012
6221422210133032220
711330222244512244
oct1112460154454564
9167648264110033
1040310444022132
1111931621839819
124630526185670
13196534909960b
149d5070723b24
1549d879245c3c
hex24a981b25974

40310444022132 has 72 divisors (see below), whose sum is σ = 97422772670496. Its totient is φ = 12972163008896.

The previous prime is 40310444022127. The next prime is 40310444022133. The reversal of 40310444022132 is 23122044401304.

It is a super-2 number, since 2×403104440221322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40310444022132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40310444022133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102065143 + ... + 102459329.

It is an arithmetic number, because the mean of its divisors is an integer number (1353094064868).

Almost surely, 240310444022132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40310444022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48711386335248).

40310444022132 is an abundant number, since it is smaller than the sum of its proper divisors (57112328648364).

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

40310444022132 is a wasteful number, since it uses less digits than its factorization.

40310444022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404385 (or 404354 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 40310444022132 its reverse (23122044401304), we get a palindrome (63432488423436).

The spelling of 40310444022132 in words is "forty trillion, three hundred ten billion, four hundred forty-four million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 841 1682 2523 3364 5046 10092 10133 20266 30399 40532 60798 121596 293857 394187 587714 788374 881571 1175428 1182561 1576748 1763142 2365122 3526284 4730244 8521853 11431423 17043706 22862846 25565559 34087412 34294269 45725692 51131118 68588538 102262236 137177076 331511267 663022534 994533801 1326045068 1989067602 3978135204 3994296871 7988593742 11982890613 15977187484 23965781226 47931562452 115834609259 231669218518 347503827777 463338437036 695007655554 1390015311108 3359203668511 6718407337022 10077611005533 13436814674044 20155222011066 40310444022132