Search a number
-
+
40431201331020 = 223523263111399133
BaseRepresentation
bin10010011000101100111110…
…11001001010011101001100
312022011011222221022020000220
421030112133121022131030
520244411100020043040
6221553500521151340
711342025600634263
oct1114263731123514
9168134887266026
1040431201331020
111197885a126255
12464ba0762b550
13197385213a146
149dac484815da
154a1a9593e2d0
hex24c59f64a74c

40431201331020 has 96 divisors (see below), whose sum is σ = 118578585388032. Its totient is φ = 10273673549568.

The previous prime is 40431201331019. The next prime is 40431201331021. The reversal of 40431201331020 is 2013310213404.

It is a happy number.

40431201331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40431201331019) and next prime (40431201331021).

It is a super-2 number, since 2×404312013310202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40431201331021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55336627 + ... + 56062506.

It is an arithmetic number, because the mean of its divisors is an integer number (1235193597792).

Almost surely, 240431201331020 is an apocalyptic number.

It is an amenable number.

40431201331020 is an abundant number, since it is smaller than the sum of its proper divisors (78147384057012).

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

40431201331020 is a wasteful number, since it uses less digits than its factorization.

40431201331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111399431 (or 111399429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 40431201331020 its reverse (2013310213404), we get a palindrome (42444511544424).

The spelling of 40431201331020 in words is "forty trillion, four hundred thirty-one billion, two hundred one million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 263 276 345 460 526 690 789 1052 1315 1380 1578 2630 3156 3945 5260 6049 7890 12098 15780 18147 24196 30245 36294 60490 72588 90735 120980 181470 362940 111399133 222798266 334197399 445596532 556995665 668394798 1113991330 1336789596 1670986995 2227982660 2562180059 3341973990 5124360118 6683947980 7686540177 10248720236 12810900295 15373080354 25621800590 29297971979 30746160708 38432700885 51243601180 58595943958 76865401770 87893915937 117191887916 146489859895 153730803540 175787831874 292979719790 351575663748 439469579685 585959439580 673853355517 878939159370 1347706711034 1757878318740 2021560066551 2695413422068 3369266777585 4043120133102 6738533555170 8086240266204 10107800332755 13477067110340 20215600665510 40431201331020