Search a number
-
+
23300432344431 = 32115922317888417
BaseRepresentation
bin1010100110001000011011…
…11111100011010101101111
310001111111111012012011220200
411103010031333203111233
511023223241140010211
6121320023145244543
74623254302044624
oct523041577432557
9101444435164820
1023300432344431
117473726687860
122743943793753
1310002b5399c38
145a7a6587a34b
152a616ebdab56
hex15310dfe356f

23300432344431 has 48 divisors (see below), whose sum is σ = 37505572715520. Its totient is φ = 13819874664960.

The previous prime is 23300432344369. The next prime is 23300432344459. The reversal of 23300432344431 is 13444323400332.

23300432344431 is a `hidden beast` number, since 2 + 3 + 300 + 4 + 3 + 2 + 344 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 23300432344431 - 230 = 23299358602607 is a prime.

It is a super-2 number, since 2×233004323444312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23300432344031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7641666 + ... + 10246751.

It is an arithmetic number, because the mean of its divisors is an integer number (781366098240).

Almost surely, 223300432344431 is an apocalyptic number.

23300432344431 is a deficient number, since it is larger than the sum of its proper divisors (14205140371089).

23300432344431 is a wasteful number, since it uses less digits than its factorization.

23300432344431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17888716 (or 17888713 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23300432344431 its reverse (13444323400332), we get a palindrome (36744755744763).

The spelling of 23300432344431 in words is "twenty-three trillion, three hundred billion, four hundred thirty-two million, three hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 59 99 177 223 531 649 669 1947 2007 2453 5841 7359 13157 22077 39471 118413 144727 434181 1302543 17888417 53665251 160995753 196772587 590317761 1055416603 1770953283 3166249809 3989116991 9498749427 11609582633 11967350973 34828747899 35902052919 43880286901 104486243697 131640860703 235357902469 394922582109 706073707407 2118221122221 2588936927159 7766810781477 23300432344431