Search a number
-
+
1401123001320 = 2332575919149339
BaseRepresentation
bin10100011000111001011…
…100000101001111101000
311221221112200010011200100
4110120321130011033220
5140423444442020240
62551400024305400
7203141064002250
oct24307134051750
94857480104610
101401123001320
114a0238452859
121a7669312260
13a218247c0b3
144bb59814960
15266a6a3ae30
hex146397053e8

1401123001320 has 384 divisors, whose sum is σ = 5320194048000. Its totient is φ = 313173941760.

The previous prime is 1401123001277. The next prime is 1401123001331. The reversal of 1401123001320 is 231003211041.

1401123001320 is a `hidden beast` number, since 1 + 40 + 1 + 1 + 2 + 300 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1401123001293 and 1401123001302.

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 95 ways as a sum of consecutive naturals, for example, 28373211 + ... + 28422549.

It is an arithmetic number, because the mean of its divisors is an integer number (13854672000).

Almost surely, 21401123001320 is an apocalyptic number.

1401123001320 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 1401123001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660097024000).

1401123001320 is an abundant number, since it is smaller than the sum of its proper divisors (3919071046680).

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

1401123001320 is a wasteful number, since it uses less digits than its factorization.

1401123001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49613 (or 49606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1401123001320 its reverse (231003211041), we get a palindrome (1632126212361).

The spelling of 1401123001320 in words is "one trillion, four hundred one billion, one hundred twenty-three million, one thousand, three hundred twenty".