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10412444311010 = 2572191736464827
BaseRepresentation
bin1001011110000101011000…
…0010110101110111100010
31100212102100010222010021222
42113201112002311313202
52331044141220423020
634051224430015042
72123163035215400
oct227412602656742
940772303863258
1010412444311010
1133549903a8475
121202002647482
135a6b739b57b1
1427dd71d2a470
15130cb90c4b25
hex978560b5de2

10412444311010 has 96 divisors (see below), whose sum is σ = 23082539077440. Its totient is φ = 3362537017728.

The previous prime is 10412444310959. The next prime is 10412444311019. The reversal of 10412444311010 is 1011344421401.

It is a happy number.

10412444311010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10412444311019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1621784 + ... + 4843043.

It is an arithmetic number, because the mean of its divisors is an integer number (240443115390).

Almost surely, 210412444311010 is an apocalyptic number.

10412444311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10412444311010 is an abundant number, since it is smaller than the sum of its proper divisors (12670094766430).

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

10412444311010 is a wasteful number, since it uses less digits than its factorization.

10412444311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6465040 (or 6465033 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 10412444311010 its reverse (1011344421401), we get a palindrome (11423788732411).

The spelling of 10412444311010 in words is "ten trillion, four hundred twelve billion, four hundred forty-four million, three hundred eleven thousand, ten".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 173 190 245 266 346 490 665 865 931 1211 1330 1730 1862 2422 3287 4655 6055 6574 8477 9310 12110 16435 16954 23009 32870 42385 46018 84770 115045 161063 230090 322126 805315 1610630 6464827 12929654 32324135 45253789 64648270 90507578 122831713 226268945 245663426 316776523 452537890 614158565 633553046 859821991 1118415071 1228317130 1583882615 1719643982 2236830142 3167765230 4299109955 5592075355 6018753937 7828905497 8598219910 11184150710 12037507874 15657810994 21249886349 30093769685 39144527485 42499772698 54802338479 60187539370 78289054970 106249431745 109604676958 148749204443 212498863490 274011692395 297498408886 548023384790 743746022215 1041244431101 1487492044430 2082488862202 5206222155505 10412444311010