Search a number
-
+
104043236454 = 233314710113093
BaseRepresentation
bin110000011100101110…
…1011100110001100110
3100221112221201000222000
41200321131130301212
53201040032031304
6115444035350130
710342200626613
oct1407135346146
9327487630860
10104043236454
1140140770533
12181b7a52346
139a7138bb51
14507002b50a
152a8e1a0939
hex183975cc66

104043236454 has 128 divisors (see below), whose sum is σ = 246175580160. Its totient is φ = 32520528000.

The previous prime is 104043236441. The next prime is 104043236489. The reversal of 104043236454 is 454632340401.

104043236454 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 3 + 2 + 3 + 645 + 4 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7939932 + ... + 7953024.

It is an arithmetic number, because the mean of its divisors is an integer number (1923246720).

Almost surely, 2104043236454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104043236454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123087790080).

104043236454 is an abundant number, since it is smaller than the sum of its proper divisors (142132343706).

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

104043236454 is a wasteful number, since it uses less digits than its factorization.

104043236454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 104043236454 its reverse (454632340401), we get a palindrome (558675576855).

The spelling of 104043236454 in words is "one hundred four billion, forty-three million, two hundred thirty-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 101 141 186 202 279 282 303 423 558 606 837 846 909 1269 1457 1674 1818 2538 2727 2914 3131 4371 4747 5454 6262 8742 9393 9494 13093 13113 14241 18786 26186 26226 28179 28482 39279 39339 42723 56358 78558 78678 84537 85446 117837 128169 147157 169074 235674 256338 294314 353511 405883 441471 615371 707022 811766 882942 1217649 1230742 1322393 1324413 1846113 2435298 2644786 2648826 3652947 3692226 3967179 3973239 5538339 7305894 7934358 7946478 10958841 11076678 11901537 16615017 19076501 21917682 23803074 33230034 35704611 38153002 40994183 57229503 62152471 71409222 81988366 114459006 122982549 124304942 171688509 186457413 245965098 343377018 368947647 372914826 515065527 559372239 737895294 1030131054 1106842941 1118744478 1678116717 1926726601 2213685882 3356233434 3853453202 5780179803 11560359606 17340539409 34681078818 52021618227 104043236454