Search a number
-
+
14023042000440 = 23351123521886549
BaseRepresentation
bin1100110000001111111001…
…1011111110011000111000
31211122120220220111212010020
43030003332123332120320
53314223142223003230
645454032505050440
72645063024206314
oct314037633763070
954576826455106
1014023042000440
1145171586a1660
1216a5914486a20
137a94a092a335
14366a0c770b44
15194b88c57810
hexcc0fe6fe638

14023042000440 has 256 divisors, whose sum is σ = 47980937088000. Its totient is φ = 3245474918400.

The previous prime is 14023042000403. The next prime is 14023042000481. The reversal of 14023042000440 is 4400024032041.

It is a happy number.

It is a super-2 number, since 2×140230420004402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14023042000440.

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, 15374286 + ... + 16260834.

It is an arithmetic number, because the mean of its divisors is an integer number (187425535500).

Almost surely, 214023042000440 is an apocalyptic number.

14023042000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14023042000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990468544000).

14023042000440 is an abundant number, since it is smaller than the sum of its proper divisors (33957895087560).

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

14023042000440 is a wasteful number, since it uses less digits than its factorization.

14023042000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887118 (or 887114 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14023042000440 its reverse (4400024032041), we get a palindrome (18423066032481).

The spelling of 14023042000440 in words is "fourteen trillion, twenty-three billion, forty-two million, four hundred forty", and thus it is an aban number.