Search a number
-
+
2401102440520 = 2357294314946153
BaseRepresentation
bin100010111100001100110…
…110111010100001001000
322111112122221212000001021
4202330030312322201020
5303314424211044040
65035015022202224
7335321361665260
oct42741466724110
98445587760037
102401102440520
11846335805053
12329424423374
131455663c9184
14842dd2287a0
15426d159024a
hex22f0cdba848

2401102440520 has 256 divisors, whose sum is σ = 6579714240000. Its totient is φ = 771135676416.

The previous prime is 2401102440511. The next prime is 2401102440571. The reversal of 2401102440520 is 250442011042.

It is a super-2 number, since 2×24011024405202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 52001764 + ... + 52047916.

It is an arithmetic number, because the mean of its divisors is an integer number (25702008750).

Almost surely, 22401102440520 is an apocalyptic number.

2401102440520 is a gapful number since it is divisible by the number (20) 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 2401102440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289857120000).

2401102440520 is an abundant number, since it is smaller than the sum of its proper divisors (4178611799480).

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

2401102440520 is a wasteful number, since it uses less digits than its factorization.

2401102440520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46392 (or 46388 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 2401102440520 its reverse (250442011042), we get a palindrome (2651544451562).

The spelling of 2401102440520 in words is "two trillion, four hundred one billion, one hundred two million, four hundred forty thousand, five hundred twenty".