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40324341102340 = 2253729371571789
BaseRepresentation
bin10010010101100101111100…
…00001101111011100000100
312021202222011122221011012111
421022302332001233130010
520241133222310233330
6221432425131430404
711331223522655131
oct1112627601573404
9167688148834174
1040324341102340
1111937503331879
1246331642b5404
1319667522819b9
149d59cc289588
1549ddde2e932a
hex24acbe06f704

40324341102340 has 72 divisors (see below), whose sum is σ = 87124590047880. Its totient is φ = 15677038660608.

The previous prime is 40324341102337. The next prime is 40324341102347. The reversal of 40324341102340 is 4320114342304.

It can be written as a sum of positive squares in 12 ways, for example, as 15716530790464 + 24607810311876 = 3964408^2 + 4960626^2 .

It is not an unprimeable number, because it can be changed into a prime (40324341102347) 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, 24869166 + ... + 26440954.

It is an arithmetic number, because the mean of its divisors is an integer number (1210063750665).

Almost surely, 240324341102340 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 40324341102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43562295023940).

40324341102340 is an abundant number, since it is smaller than the sum of its proper divisors (46800248945540).

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

40324341102340 is a wasteful number, since it uses less digits than its factorization.

40324341102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572809 (or 1572770 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 40324341102340 its reverse (4320114342304), we get a palindrome (44644455444644).

The spelling of 40324341102340 in words is "forty trillion, three hundred twenty-four billion, three hundred forty-one million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 937 1369 1874 2738 3748 4685 5476 6845 9370 13690 18740 27380 34669 69338 138676 173345 346690 693380 1282753 1571789 2565506 3143578 5131012 6287156 6413765 7858945 12827530 15717890 25655060 31435780 58156193 116312386 232624772 290780965 581561930 1163123860 1472766293 2151779141 2945532586 4303558282 5891065172 7363831465 8607116564 10758895705 14727662930 21517791410 29455325860 43035582820 54492352841 108984705682 217969411364 272461764205 544923528410 1089847056820 2016217055117 4032434110234 8064868220468 10081085275585 20162170551170 40324341102340