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10140403224320 = 28589521170851
BaseRepresentation
bin1001001110001111111100…
…1000011100111100000000
31022220102011010200001100122
42103203333020130330000
52312120021211134240
633322234213235412
72064422434144565
oct223437710347400
938812133601318
1010140403224320
11325a5802955a6
121179340632b68
1358730b41a595
14270b2612086c
15128b962634b5
hex938ff21cf00

10140403224320 has 144 divisors (see below), whose sum is σ = 24609638259360. Its totient is φ = 4002865152000.

The previous prime is 10140403224317. The next prime is 10140403224373. The reversal of 10140403224320 is 2342230404101.

It is a self number, because there is not a number n which added to its sum of digits gives 10140403224320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59266895 + ... + 59437745.

It is an arithmetic number, because the mean of its divisors is an integer number (170900265690).

Almost surely, 210140403224320 is an apocalyptic number.

10140403224320 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 10140403224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304819129680).

10140403224320 is an abundant number, since it is smaller than the sum of its proper divisors (14469235035040).

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

10140403224320 is an equidigital number, since it uses as much as digits as its factorization.

10140403224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171482 (or 171468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10140403224320 its reverse (2342230404101), we get a palindrome (12482633628421).

The spelling of 10140403224320 in words is "ten trillion, one hundred forty billion, four hundred three million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 521 640 712 890 1042 1280 1424 1780 2084 2605 2848 3560 4168 5210 5696 7120 8336 10420 11392 14240 16672 20840 22784 28480 33344 41680 46369 56960 66688 83360 92738 113920 133376 166720 170851 185476 231845 333440 341702 370952 463690 666880 683404 741904 854255 927380 1366808 1483808 1708510 1854760 2733616 2967616 3417020 3709520 5467232 5935232 6834040 7419040 10934464 11870464 13668080 14838080 15205739 21868928 27336160 29676160 30411478 43737856 54672320 59352320 60822956 76028695 89013371 109344640 121645912 152057390 178026742 218689280 243291824 304114780 356053484 445066855 486583648 608229560 712106968 890133710 973167296 1216459120 1424213936 1780267420 1946334592 2432918240 2848427872 3560534840 3892669184 4865836480 5696855744 7121069680 7922190019 9731672960 11393711488 14242139360 15844380038 19463345920 22787422976 28484278720 31688760076 39610950095 56968557440 63377520152 79221900190 113937114880 126755040304 158443800380 253510080608 316887600760 507020161216 633775201520 1014040322432 1267550403040 2028080644864 2535100806080 5070201612160 10140403224320