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23341444041006 = 23271318797583803
BaseRepresentation
bin1010100111010100110100…
…11110110000100100101110
310001122102100100221020012200
411103222122132300210232
511024411234133303011
6121350524504242330
74626235512523260
oct523523236604456
9101572310836180
1023341444041006
11748a061718473
12274b88a4703a6
13100411cc23510
145a9a3655bb30
152a7270414856
hex153a9a7b092e

23341444041006 has 96 divisors (see below), whose sum is σ = 62276985039360. Its totient is φ = 6152708227392.

The previous prime is 23341444040987. The next prime is 23341444041053. The reversal of 23341444041006 is 60014044414332.

23341444041006 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 144 + 404 + 100 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 714100 + ... + 6869703.

It is an arithmetic number, because the mean of its divisors is an integer number (648718594160).

Almost surely, 223341444041006 is an apocalyptic number.

23341444041006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23341444041006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31138492519680).

23341444041006 is an abundant number, since it is smaller than the sum of its proper divisors (38935540998354).

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

23341444041006 is a wasteful number, since it uses less digits than its factorization.

23341444041006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585710 (or 7585707 counting only the distinct ones).

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

Adding to 23341444041006 its reverse (60014044414332), we get a palindrome (83355488455338).

The spelling of 23341444041006 in words is "twenty-three trillion, three hundred forty-one billion, four hundred forty-four million, forty-one thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 1879 3758 5637 11274 13153 16911 24427 26306 33822 39459 48854 73281 78918 118377 146562 170989 219843 236754 341978 439686 512967 1025934 1538901 3077802 7583803 15167606 22751409 45502818 53086621 68254227 98589439 106173242 136508454 159259863 197178878 295768317 318519726 477779589 591536634 690126073 887304951 955559178 1380252146 1774609902 2070378219 4140756438 6211134657 12422269314 14249965837 28499931674 42749897511 85499795022 99749760859 128249692533 185249555881 199499521718 256499385066 299249282577 370499111762 555748667643 598498565154 897747847731 1111497335286 1296746891167 1667246002929 1795495695462 2593493782334 3334492005858 3890240673501 7780481347002 11670722020503 23341444041006