Search a number
-
+
331441441202430 = 232513397713559907
BaseRepresentation
bin100101101011100011011100…
…1010111011110000011111110
31121110112111021220120100101100
41023113012321113132003332
5321420314032421434210
63132530032430553530
7126545565614216436
oct11327067127360376
91543474256510340
10331441441202430
1196675586997599
123120b6a40688a6
13112c2a41c76b90
145bbbbcc1552c6
15284b844a625c0
hex12d71b95de0fe

331441441202430 has 96 divisors (see below), whose sum is σ = 930373658925984. Its totient is φ = 81380080159488.

The previous prime is 331441441202383. The next prime is 331441441202507. The reversal of 331441441202430 is 34202144144133.

331441441202430 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 4 + 1 + 441 + 202 + 4 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356315464 + ... + 357244443.

It is an arithmetic number, because the mean of its divisors is an integer number (9691392280479).

Almost surely, 2331441441202430 is an apocalyptic number.

331441441202430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331441441202430 is an abundant number, since it is smaller than the sum of its proper divisors (598932217723554).

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

331441441202430 is a wasteful number, since it uses less digits than its factorization.

331441441202430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713560330 (or 713560327 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 331441441202430 its reverse (34202144144133), we get a palindrome (365643585346563).

The spelling of 331441441202430 in words is "three hundred thirty-one trillion, four hundred forty-one billion, four hundred forty-one million, two hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 397 585 794 1170 1191 1985 2382 3573 3970 5161 5955 7146 10322 11910 15483 17865 25805 30966 35730 46449 51610 77415 92898 154830 232245 464490 713559907 1427119814 2140679721 3567799535 4281359442 6422039163 7135599070 9276278791 10703398605 12844078326 18552557582 21406797210 27828836373 32110195815 46381393955 55657672746 64220391630 83486509119 92762787910 139144181865 166973018238 278288363730 283283283079 417432545595 566566566158 834865091190 849849849237 1416416415395 1699699698474 2549549547711 2832832830790 3682682680027 4249249246185 5099099095422 7365365360054 8498498492370 11048048040081 12747747738555 18413413400135 22096096080162 25495495477110 33144144120243 36826826800270 55240240200405 66288288240486 110480480400810 165720720601215 331441441202430