Search a number
-
+
15054401140000 = 25542338984131
BaseRepresentation
bin1101101100010010000000…
…1110110111010100100000
31222022012001002200121221121
43123010200032313110200
53433122403142440000
652003521342502024
73112434044226235
oct333044016672440
958265032617847
1015054401140000
114884598a81212
121831788594914
13852815a31351
143a08cb93978c
151b18ed5bab1a
hexdb1203b7520

15054401140000 has 240 divisors, whose sum is σ = 38746158010560. Its totient is φ = 5745069440000.

The previous prime is 15054401139997. The next prime is 15054401140001. The reversal of 15054401140000 is 4110445051.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (15054401140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178897935 + ... + 178982065.

It is an arithmetic number, because the mean of its divisors is an integer number (161442325044).

Almost surely, 215054401140000 is an apocalyptic number.

15054401140000 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 15054401140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373079005280).

15054401140000 is an abundant number, since it is smaller than the sum of its proper divisors (23691756870560).

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

15054401140000 is an equidigital number, since it uses as much as digits as its factorization.

15054401140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84573 (or 84550 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 15054401140000 its reverse (4110445051), we get a palindrome (15058511585051).

The spelling of 15054401140000 in words is "fifteen trillion, fifty-four billion, four hundred one million, one hundred forty thousand".