Search a number
-
+
144023242124300 = 2252711210116835569
BaseRepresentation
bin100000101111110100000110…
…001011111010110000001100
3200212221111011101002111012212
4200233310012023322300030
5122334134044440434200
61230151210344245552
742223223126062430
oct4057640613726014
9625844141074185
10144023242124300
1141987a06556900
12141a08044708b8
1362494447b0cb6
14277ca953449c0
15119b595b82035
hex82fd062fac0c

144023242124300 has 216 divisors, whose sum is σ = 396487370788320. Its totient is φ = 44445899520000.

The previous prime is 144023242124273. The next prime is 144023242124341. The reversal of 144023242124300 is 3421242320441.

It is a happy number.

It is a super-3 number, since 3×1440232421243003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136916 + ... + 16972484.

Almost surely, 2144023242124300 is an apocalyptic number.

144023242124300 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 144023242124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198243685394160).

144023242124300 is an abundant number, since it is smaller than the sum of its proper divisors (252464128664020).

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

144023242124300 is a wasteful number, since it uses less digits than its factorization.

144023242124300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16835713 (or 16835695 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144023242124300 its reverse (3421242320441), we get a palindrome (147444484444741).

The spelling of 144023242124300 in words is "one hundred forty-four trillion, twenty-three billion, two hundred forty-two million, one hundred twenty-four thousand, three hundred".