Search a number
-
+
23423266232432 = 2411633312101447
BaseRepresentation
bin1010101001101101001110…
…11101101001100001110000
310001221020112200211012220222
411110312213131221201300
511032231322123414212
6121452255553552212
74635163241626313
oct524664735514160
9101836480735828
1023423266232432
11751082a165980
122763704575668
13100ba5c7180c1
145ad99930897a
152a945d871c72
hex154da7769870

23423266232432 has 40 divisors (see below), whose sum is σ = 49509072561792. Its totient is φ = 10646766014400.

The previous prime is 23423266232417. The next prime is 23423266232447.

23423266232432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23423266232417) and next prime (23423266232447).

It is a super-3 number, since 3×234232662324323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 10095533 + ... + 12196979.

Almost surely, 223423266232432 is an apocalyptic number.

23423266232432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23423266232432 is an abundant number, since it is smaller than the sum of its proper divisors (26085806329360).

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

23423266232432 is a wasteful number, since it uses less digits than its factorization.

23423266232432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164797 (or 2164791 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 2342326 and 6232432, that added together give a palindrome (8574758).

The spelling of 23423266232432 in words is "twenty-three trillion, four hundred twenty-three billion, two hundred sixty-six million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 63331 126662 253324 506648 696641 1013296 1393282 2101447 2786564 4202894 5573128 8405788 11146256 16811576 23115917 33623152 46231834 92463668 184927336 369854672 133086739957 266173479914 532346959828 1064693919656 1463954139527 2129387839312 2927908279054 5855816558108 11711633116216 23423266232432