Search a number
-
+
23221441444344 = 23311136766154267
BaseRepresentation
bin1010100011110101010011…
…10001001011100111111000
310001012221121011212200202120
411101322221301023213320
511020430003002204334
6121215441040201240
74614456652344363
oct521725161134770
9101187534780676
1023221441444344
11744318134a450
122730579909220
13cc5a0733a280
145a3cd0b3b0da
152a409a0e9949
hex151ea9c4b9f8

23221441444344 has 64 divisors (see below), whose sum is σ = 68202835021440. Its totient is φ = 6495508095360.

The previous prime is 23221441444319. The next prime is 23221441444381. The reversal of 23221441444344 is 44344414412232.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23221441444296 and 23221441444305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3383073702 + ... + 3383080565.

It is an arithmetic number, because the mean of its divisors is an integer number (1065669297210).

Almost surely, 223221441444344 is an apocalyptic number.

23221441444344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23221441444344 is an abundant number, since it is smaller than the sum of its proper divisors (44981393577096).

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

23221441444344 is a wasteful number, since it uses less digits than its factorization.

23221441444344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766154300 (or 6766154296 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

Adding to 23221441444344 its reverse (44344414412232), we get a palindrome (67565855856576).

The spelling of 23221441444344 in words is "twenty-three trillion, two hundred twenty-one billion, four hundred forty-one million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 6766154267 13532308534 20298462801 27064617068 40596925602 54129234136 74427696937 81193851204 87960005471 148855393874 162387702408 175920010942 223283090811 263880016413 297710787748 351840021884 446566181622 527760032826 595421575496 703680043768 893132363244 967560060181 1055520065652 1786264726488 1935120120362 2111040131304 2902680180543 3870240240724 5805360361086 7740480481448 11610720722172 23221441444344