Search a number
-
+
23024433431412 = 22337271469123957
BaseRepresentation
bin1010011110000110010110…
…01011010000001101110100
310000112010002100112200221000
411033003023023100031310
511004213014424301122
6120545140110523300
74564313632020630
oct517031313201564
9100463070480830
1023024433431412
117377675476436
1226ba358206530
13cb026bb5835a
14598562177dc0
1529ddb96850ac
hex14f0cb2d0374

23024433431412 has 192 divisors, whose sum is σ = 68489735086080. Its totient is φ = 6552464284800.

The previous prime is 23024433431371. The next prime is 23024433431537. The reversal of 23024433431412 is 21413433442032.

23024433431412 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 4 + 4 + 334 + 314 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961061338 + ... + 961085294.

It is an arithmetic number, because the mean of its divisors is an integer number (356717370240).

Almost surely, 223024433431412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23024433431412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34244867543040).

23024433431412 is an abundant number, since it is smaller than the sum of its proper divisors (45465301654668).

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

23024433431412 is a wasteful number, since it uses less digits than its factorization.

23024433431412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28939 (or 28931 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 23024433431412 its reverse (21413433442032), we get a palindrome (44437866873444).

The spelling of 23024433431412 in words is "twenty-three trillion, twenty-four billion, four hundred thirty-three million, four hundred thirty-one thousand, four hundred twelve".