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10412222413424 = 24131013494673041
BaseRepresentation
bin1001011110000100100011…
…0100010111101001110000
31100212101202200102120000212
42113201020310113221300
52331043212414212144
634051150422003252
72123154402136556
oct227411064275160
940771680376025
1010412222413424
113354887119537
121201b60276528
135a6b39a32450
1427dd50687bd6
15130ca489249e
hex97848d17a70

10412222413424 has 160 divisors (see below), whose sum is σ = 22057841332800. Its totient is φ = 4732710912000.

The previous prime is 10412222413421. The next prime is 10412222413447. The reversal of 10412222413424 is 42431422221401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412222413421) 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, 3423945344 + ... + 3423948384.

It is an arithmetic number, because the mean of its divisors is an integer number (137861508330).

Almost surely, 210412222413424 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 10412222413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028920666400).

10412222413424 is an abundant number, since it is smaller than the sum of its proper divisors (11645618919376).

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

10412222413424 is a wasteful number, since it uses less digits than its factorization.

10412222413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 10412222413424 its reverse (42431422221401), we get a palindrome (52843644634825).

The spelling of 10412222413424 in words is "ten trillion, four hundred twelve billion, two hundred twenty-two million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 349 404 467 698 808 934 1313 1396 1616 1868 2626 2792 3041 3736 4537 5252 5584 6071 6082 7472 9074 10504 12142 12164 18148 21008 24284 24328 35249 36296 39533 47167 48568 48656 70498 72592 79066 94334 97136 140996 158132 162983 188668 281992 307141 316264 325966 377336 458237 563984 613171 614282 632528 651932 754672 916474 1061309 1226342 1228564 1303864 1420147 1832948 2118779 2122618 2452684 2457128 2607728 2840294 3665896 3992833 4237558 4245236 4905368 4914256 5680588 7331792 7985666 8475116 8490472 9810736 11361176 13797017 15971332 16461283 16950232 16980944 18461911 22722352 27594034 31942664 32922566 33900464 36923822 55188068 63885328 65845132 73847644 107192209 110376136 131690264 143434847 147695288 213996679 214384418 220752272 263380528 286869694 295390576 427993358 428768836 495631303 573739388 855986716 857537672 991262606 1147478776 1393498717 1711973432 1715075344 1864653011 1982525212 2294957552 2786997434 3423946864 3729306022 3965050424 5573994868 6443206939 7458612044 7930100848 11147989736 12886413878 14917224088 22295979472 25772827756 29834448176 50058761603 51545655512 100117523206 103091311024 200235046412 400470092824 650763900839 800940185648 1301527801678 2603055603356 5206111206712 10412222413424