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3102413244240 = 2435173203237401
BaseRepresentation
bin101101001001010110001…
…111010100011101010000
3101222120212111212010110010
4231021112033110131100
5401312220242303430
610333121242434520
7440066456320062
oct55112617243520
911876774763403
103102413244240
11a967a943aa02
12421327b02a40
131967302b46cb
14aa22c663732
1555a7a76dcb0
hex2d2563d4750

3102413244240 has 160 divisors (see below), whose sum is σ = 10186437419136. Its totient is φ = 778398515200.

The previous prime is 3102413244239. The next prime is 3102413244269. The reversal of 3102413244240 is 424423142013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3102413244198 and 3102413244207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12949540 + ... + 13186940.

Almost surely, 23102413244240 is an apocalyptic number.

3102413244240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102413244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093218709568).

3102413244240 is an abundant number, since it is smaller than the sum of its proper divisors (7084024174896).

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

3102413244240 is a wasteful number, since it uses less digits than its factorization.

3102413244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240637 (or 240631 counting only the distinct ones).

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

Adding to 3102413244240 its reverse (424423142013), we get a palindrome (3526836386253).

The spelling of 3102413244240 in words is "three trillion, one hundred two billion, four hundred thirteen million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 3203 4080 6406 9609 12812 16015 19218 25624 32030 38436 48045 51248 54451 64060 76872 96090 108902 128120 153744 163353 192180 217804 237401 256240 272255 326706 384360 435608 474802 544510 653412 712203 768720 816765 871216 949604 1089020 1187005 1306824 1424406 1633530 1899208 2178040 2374010 2613648 2848812 3267060 3561015 3798416 4035817 4356080 4748020 5697624 6534120 7122030 8071634 9496040 11395248 12107451 13068240 14244060 16143268 18992080 20179085 24214902 28488120 32286536 40358170 48429804 56976240 60537255 64573072 80716340 96859608 121074510 161432680 193719216 242149020 322865360 484298040 760395403 968596080 1520790806 2281186209 3041581612 3801977015 4562372418 6083163224 7603954030 9124744836 11405931045 12166326448 12926721851 15207908060 18249489672 22811862090 25853443702 30415816120 36498979344 38780165553 45623724180 51706887404 60831632240 64633609255 77560331106 91247448360 103413774808 129267218510 155120662212 182494896720 193900827765 206827549616 258534437020 310241324424 387801655530 517068874040 620482648848 775603311060 1034137748080 1551206622120 3102413244240