Search a number
-
+
41002343434404 = 223211135101766399
BaseRepresentation
bin10010101001010100110100…
…00111011000100010100100
312101011210012210221020110100
421110222122013120202210
520333240244404400104
6223112114434424100
711431215202465032
oct1124523207304244
9171153183836410
1041002343434404
1112078aa5a37a10
124722641a32030
1319b5673205281
14a1a749c59552
154b1872084139
hex254a9a1d88a4

41002343434404 has 72 divisors (see below), whose sum is σ = 113068052697600. Its totient is φ = 12424844376000.

The previous prime is 41002343434397. The next prime is 41002343434453. The reversal of 41002343434404 is 40443434320014.

41002343434404 is a `hidden beast` number, since 4 + 10 + 0 + 234 + 3 + 4 + 3 + 4 + 404 = 666.

It is a super-2 number, since 2×410023434344042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53116797 + ... + 53883195.

It is an arithmetic number, because the mean of its divisors is an integer number (1570389620800).

Almost surely, 241002343434404 is an apocalyptic number.

41002343434404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41002343434404 is an abundant number, since it is smaller than the sum of its proper divisors (72065709263196).

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

41002343434404 is a wasteful number, since it uses less digits than its factorization.

41002343434404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901521 (or 901516 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 41002343434404 its reverse (40443434320014), we get a palindrome (81445777754418).

The spelling of 41002343434404 in words is "forty-one trillion, two billion, three hundred forty-three million, four hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 135101 270202 405303 540404 766399 810606 1215909 1486111 1532798 1621212 2299197 2431818 2972222 3065596 4458333 4598394 4863636 5944444 6897591 8430389 8916666 9196788 13374999 13795182 16860778 17833332 25291167 26749998 27590364 33721556 50582334 53499996 75873501 101164668 151747002 303494004 103541271299 207082542598 310623813897 414165085196 621247627794 931871441691 1138953984289 1242495255588 1863742883382 2277907968578 3416861952867 3727485766764 4555815937156 6833723905734 10250585858601 13667447811468 20501171717202 41002343434404