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1143030442240 = 28519157129917
BaseRepresentation
bin10000101000100001111…
…011000110100100000000
311001021100202102201110201
4100220201323012210000
5122211411243122430
62233033445134544
7145403234310631
oct20504173064400
94037322381421
101143030442240
11400835982155
1216563a6ba454
1383a3094040b
143d474323888
151eaed5418ca
hex10a21ec6900

1143030442240 has 144 divisors (see below), whose sum is σ = 2883946806720. Its totient is φ = 432858193920.

The previous prime is 1143030442171. The next prime is 1143030442241. The reversal of 1143030442240 is 422440303411.

It is a junction number, because it is equal to n+sod(n) for n = 1143030442199 and 1143030442208.

It is not an unprimeable number, because it can be changed into a prime (1143030442241) 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, 38191762 + ... + 38221678.

It is an arithmetic number, because the mean of its divisors is an integer number (20027408380).

Almost surely, 21143030442240 is an apocalyptic number.

1143030442240 is a gapful number since it is divisible by the number (10) 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 1143030442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441973403360).

1143030442240 is an abundant number, since it is smaller than the sum of its proper divisors (1740916364480).

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

1143030442240 is a wasteful number, since it uses less digits than its factorization.

1143030442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31528 (or 31514 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1143030442240 its reverse (422440303411), we get a palindrome (1565470745651).

The spelling of 1143030442240 in words is "one trillion, one hundred forty-three billion, thirty million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 1571 2432 3040 3142 4864 6080 6284 7855 12160 12568 15710 24320 25136 29849 29917 31420 50272 59698 59834 62840 100544 119396 119668 125680 149245 149585 201088 238792 239336 251360 298490 299170 402176 477584 478672 502720 568423 596980 598340 955168 957344 1005440 1136846 1193960 1196680 1910336 1914688 2010880 2273692 2387920 2393360 2842115 3820672 3829376 4547384 4775840 4786720 5684230 7641344 7658752 9094768 9551680 9573440 11368460 18189536 19103360 19146880 22736920 36379072 38206720 38293760 45473840 46999607 72758144 90947680 93999214 145516288 181895360 187998428 234998035 363790720 375996856 469996070 727581440 751993712 892992533 939992140 1503987424 1785985066 1879984280 3007974848 3571970132 3759968560 4464962665 6015949696 7143940264 7519937120 8929925330 12031899392 14287880528 15039874240 17859850660 28575761056 30079748480 35719701320 57151522112 60159496960 71439402640 114303044224 142878805280 228606088448 285757610560 571515221120 1143030442240