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10244324240 = 2451929277839
BaseRepresentation
bin10011000101001101…
…11111101110010000
3222102221111120222022
421202212333232100
5131440021333430
64412311231012
7511602214343
oct114246775620
928387446868
1010244324240
114387721477
121b9a978468
13c734c3627
146d27a245a
153ee5704e5
hex2629bfb90

10244324240 has 160 divisors (see below), whose sum is σ = 26060832000. Its totient is φ = 3730212864.

The previous prime is 10244324227. The next prime is 10244324243. The reversal of 10244324240 is 4242344201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10244324243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12209741 + ... + 12210579.

It is an arithmetic number, because the mean of its divisors is an integer number (162880200).

Almost surely, 210244324240 is an apocalyptic number.

10244324240 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 10244324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030416000).

10244324240 is an abundant number, since it is smaller than the sum of its proper divisors (15816507760).

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

10244324240 is a wasteful number, since it uses less digits than its factorization.

10244324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10244324240 its reverse (4242344201), we get a palindrome (14486668441).

The spelling of 10244324240 in words is "ten billion, two hundred forty-four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 277 290 304 380 464 551 554 580 760 839 1102 1108 1160 1385 1520 1678 2204 2216 2320 2755 2770 3356 4195 4408 4432 5263 5510 5540 6712 8033 8390 8816 10526 11020 11080 13424 15941 16066 16780 21052 22040 22160 24331 26315 31882 32132 33560 40165 42104 44080 48662 52630 63764 64264 67120 79705 80330 84208 97324 105260 121655 127528 128528 152627 159410 160660 194648 210520 232403 243310 255056 305254 318820 321320 389296 421040 462289 464806 486620 610508 637640 642640 763135 924578 929612 973240 1162015 1221016 1275280 1526270 1849156 1859224 1946480 2311445 2324030 2442032 3052540 3698312 3718448 4415657 4622890 4648060 6105080 6739687 7396624 8831314 9245780 9296120 12210160 13479374 17662628 18491560 18592240 22078285 26958748 33698435 35325256 36983120 44156570 53917496 67396870 70650512 88313140 107834992 128054053 134793740 176626280 256108106 269587480 353252560 512216212 539174960 640270265 1024432424 1280540530 2048864848 2561081060 5122162120 10244324240