Search a number
-
+
144241235621340 = 2235111324736797951
BaseRepresentation
bin100000110010111111000111…
…100111000111010111011100
3200220201022211201022112100120
4200302333013213013113130
5122401222022304340330
61230435301525354540
742245041166165454
oct4062770747072734
9626638751275316
10144241235621340
1141a61401168710
1214216b01b68a50
136263b75894830
14278945503cd64
1511a20a3b27c10
hex832fc79c75dc

144241235621340 has 192 divisors, whose sum is σ = 474674992791552. Its totient is φ = 32264702208000.

The previous prime is 144241235621323. The next prime is 144241235621347. The reversal of 144241235621340 is 43126532142441.

It is a junction number, because it is equal to n+sod(n) for n = 144241235621292 and 144241235621301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144241235621347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17819365 + ... + 24617315.

It is an arithmetic number, because the mean of its divisors is an integer number (2472265587456).

Almost surely, 2144241235621340 is an apocalyptic number.

144241235621340 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 144241235621340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237337496395776).

144241235621340 is an abundant number, since it is smaller than the sum of its proper divisors (330433757170212).

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

144241235621340 is a wasteful number, since it uses less digits than its factorization.

144241235621340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800460 (or 6800458 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 144241235621340 its reverse (43126532142441), we get a palindrome (187367767763781).

The spelling of 144241235621340 in words is "one hundred forty-four trillion, two hundred forty-one billion, two hundred thirty-five million, six hundred twenty-one thousand, three hundred forty".