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40321332133432 = 2373721015207413
BaseRepresentation
bin10010010101100000010101…
…01011011011111000111000
312021202200101222000200211121
421022300022223123320320
520241111042011232212
6221431210403035024
711331056125106050
oct1112601253337070
9167680358020747
1040321332133432
11119361a98a5a09
12463266466ba74
131966392a7a01c
149d57c47ca560
1549dcb5082d07
hex24ac0aadbe38

40321332133432 has 96 divisors (see below), whose sum is σ = 89680417535520. Its totient is φ = 16647054681600.

The previous prime is 40321332133427. The next prime is 40321332133451. The reversal of 40321332133432 is 23433123312304.

It is a happy number.

It is a super-3 number, since 3×403213321334323 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5139358 + ... + 10346770.

It is an arithmetic number, because the mean of its divisors is an integer number (934171015995).

Almost surely, 240321332133432 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 40321332133432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44840208767760).

40321332133432 is an abundant number, since it is smaller than the sum of its proper divisors (49359085402088).

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

40321332133432 is a wasteful number, since it uses less digits than its factorization.

40321332133432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207601 (or 5207560 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 40321332133432 its reverse (23433123312304), we get a palindrome (63754455445736).

The spelling of 40321332133432 in words is "forty trillion, three hundred twenty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 101 148 202 259 296 404 518 707 808 1036 1369 1414 2072 2738 2828 3737 5476 5656 7474 9583 10952 14948 19166 26159 29896 38332 52318 76664 104636 138269 209272 276538 553076 967883 1106152 1935766 3871532 5207413 7743064 10414826 20829652 36451891 41659304 72903782 145807564 192674281 291615128 385348562 525948713 770697124 1051897426 1348719967 1541394248 2103794852 2697439934 3681640991 4207589704 5394879868 7128948397 7363281982 10789759736 14257896794 14726563964 19460102381 28515793588 29453127928 38920204762 49902638779 57031587176 77840409524 99805277558 136220716667 155680819048 199610555116 272441433334 399221110232 544882866668 720023788097 1089765733336 1440047576194 2880095152388 5040166516679 5760190304776 10080333033358 20160666066716 40321332133432