Search a number
-
+
15055243412440 = 235721141591272273
BaseRepresentation
bin1101101100010101001001…
…1011111000001111011000
31222022021012210120111112011
43123011102123320033120
53433131114303144230
652004141111355304
73112463652354100
oct333052233701730
958267183514464
1015055243412440
114884990464a40
121831982682b34
1385291b3951ca
143a096b74a200
151b194c4e2e2a
hexdb1526f83d8

15055243412440 has 768 divisors, whose sum is σ = 45154348646400. Its totient is φ = 4463094988800.

The previous prime is 15055243412423. The next prime is 15055243412449. The reversal of 15055243412440 is 4421434255051.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15055243412393 and 15055243412402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15055243412449) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 6623511144 + ... + 6623513416.

It is an arithmetic number, because the mean of its divisors is an integer number (58794724800).

Almost surely, 215055243412440 is an apocalyptic number.

15055243412440 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 15055243412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22577174323200).

15055243412440 is an abundant number, since it is smaller than the sum of its proper divisors (30099105233960).

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

15055243412440 is a wasteful number, since it uses less digits than its factorization.

15055243412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 15055243412440 its reverse (4421434255051), we get a palindrome (19476677667491).

The spelling of 15055243412440 in words is "fifteen trillion, fifty-five billion, two hundred forty-three million, four hundred twelve thousand, four hundred forty".