Search a number
-
+
10155421440 = 28335319479
BaseRepresentation
bin10010111010100111…
…10110111100000000
3222012202012212021000
421131103312330000
5131244241441230
64355413532000
7506442441453
oct113523667400
928182185230
1010155421440
11434151a48a
121b75044000
13c5ac66c18
146c4a5d49a
153e685db60
hex25d4f6f00

10155421440 has 288 divisors, whose sum is σ = 37204070400. Its totient is φ = 2620477440.

The previous prime is 10155421439. The next prime is 10155421453. The reversal of 10155421440 is 4412455101.

10155421440 is a `hidden beast` number, since 101 + 5 + 542 + 14 + 4 + 0 = 666.

10155421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066621 + ... + 1076099.

It is an arithmetic number, because the mean of its divisors is an integer number (129180800).

Almost surely, 210155421440 is an apocalyptic number.

10155421440 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 10155421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602035200).

10155421440 is an abundant number, since it is smaller than the sum of its proper divisors (27048648960).

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

10155421440 is an equidigital number, since it uses as much as digits as its factorization.

10155421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10155421440 its reverse (4412455101), we get a palindrome (14567876541).

The spelling of 10155421440 in words is "ten billion, one hundred fifty-five million, four hundred twenty-one thousand, four hundred forty".