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3121410040544 = 251959320534217
BaseRepresentation
bin101101011011000010100…
…010010110001011100000
3102001101220102200100221102
4231123002202112023200
5402120121432244134
610345542254013532
7441341310400625
oct55330242261340
912041812610842
103121410040544
11aa3867658164
12424b49aa72a8
13198469b9cb93
14ab11160634c
15562dd3c437e
hex2d6c28962e0

3121410040544 has 96 divisors (see below), whose sum is σ = 6484313515680. Its totient is φ = 1475000451072.

The previous prime is 3121410040531. The next prime is 3121410040547. The reversal of 3121410040544 is 4450400141213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121410040547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740194724 + ... + 740198940.

It is an arithmetic number, because the mean of its divisors is an integer number (67544932455).

Almost surely, 23121410040544 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 3121410040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242156757840).

3121410040544 is an abundant number, since it is smaller than the sum of its proper divisors (3362903475136).

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

3121410040544 is a wasteful number, since it uses less digits than its factorization.

3121410040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 3121410040544 its reverse (4450400141213), we get a palindrome (7571810181757).

The spelling of 3121410040544 in words is "three trillion, one hundred twenty-one billion, four hundred ten million, forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 593 608 1186 2053 2372 4106 4217 4744 8212 8434 9488 11267 16424 16868 18976 22534 32848 33736 39007 45068 65696 67472 78014 80123 90136 134944 156028 160246 180272 312056 320492 360544 624112 640984 1217429 1248224 1281968 2434858 2500681 2563936 4869716 5001362 8657501 9739432 10002724 17315002 19478864 20005448 23131151 34630004 38957728 40010896 46262302 47512939 69260008 80021792 92524604 95025878 138520016 164492519 185049208 190051756 277040032 328985038 370098416 380103512 657970076 740196832 760207024 1315940152 1520414048 2631880304 5133898093 5263760608 10267796186 20535592372 41071184744 82142369488 97544063767 164284738976 195088127534 390176255068 780352510136 1560705020272 3121410040544