Search a number
-
+
40103424100410 = 23511487361369067
BaseRepresentation
bin10010001111001010011100…
…10110010000100000111010
312020222211221120121200021220
421013211032112100200322
520224023303032203120
6221143131513412510
711306243143304166
oct1107451626204072
9166884846550256
1040103424100410
1111861848457520
1245b838b70a136
13194b9765ba908
149c90321bbca6
154982ae86eb40
hex24794e59083a

40103424100410 has 128 divisors (see below), whose sum is σ = 105244302219264. Its totient is φ = 9699253320960.

The previous prime is 40103424100403. The next prime is 40103424100463. The reversal of 40103424100410 is 1400142430104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580610697 + ... + 580679763.

It is an arithmetic number, because the mean of its divisors is an integer number (822221111088).

Almost surely, 240103424100410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40103424100410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52622151109632).

40103424100410 is an abundant number, since it is smaller than the sum of its proper divisors (65140878118854).

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

40103424100410 is a wasteful number, since it uses less digits than its factorization.

40103424100410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73188.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40103424100410 its reverse (1400142430104), we get a palindrome (41503566530514).

The spelling of 40103424100410 in words is "forty trillion, one hundred three billion, four hundred twenty-four million, one hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 487 974 1461 2435 2922 3613 4870 5357 7226 7305 10714 10839 14610 16071 18065 21678 26785 32142 36130 39743 53570 54195 69067 79486 80355 108390 119229 138134 160710 198715 207201 238458 345335 397430 414402 596145 690670 759737 1036005 1192290 1519474 1759531 2072010 2279211 3519062 3798685 4558422 5278593 7597370 8797655 10557186 11396055 17595310 19354841 22792110 26392965 33635629 38709682 52785930 58064523 67271258 96774205 100906887 116129046 168178145 193548410 201813774 249539071 290322615 336356290 369991919 499078142 504534435 580645230 739983838 748617213 1009068870 1109975757 1247695355 1497234426 1849959595 2219951514 2495390710 2744929781 3699919190 3743086065 5489859562 5549878785 7486172130 8234789343 11099757570 13724648905 16469578686 27449297810 41173946715 82347893430 121525527577 243051055154 364576582731 607627637885 729153165462 1215255275770 1336780803347 1822882913655 2673561606694 3645765827310 4010342410041 6683904016735 8020684820082 13367808033470 20051712050205 40103424100410