Search a number
-
+
1401114220020 = 22365101951469
BaseRepresentation
bin10100011000111000111…
…010100101010111110100
311221221112001121001000000
4110120320322211113310
5140423440220020040
62551355112151300
7203140626236634
oct24307072452764
94857461531000
101401114220020
114a02334a5289
121a7666398530
13a21806c6168
144bb585aa6c4
15266a5da4130
hex14638ea55f4

1401114220020 has 168 divisors, whose sum is σ = 4455174545640. Its totient is φ = 369930758400.

The previous prime is 1401114220019. The next prime is 1401114220031. The reversal of 1401114220020 is 200224111041.

1401114220020 is a `hidden beast` number, since 1 + 401 + 1 + 1 + 42 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 518063094756 + 883051125264 = 719766^2 + 939708^2 .

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 = 1401114219975 and 1401114220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 996846 + ... + 1948314.

It is an arithmetic number, because the mean of its divisors is an integer number (26518896105).

Almost surely, 21401114220020 is an apocalyptic number.

1401114220020 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 1401114220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227587272820).

1401114220020 is an abundant number, since it is smaller than the sum of its proper divisors (3054060325620).

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

1401114220020 is a wasteful number, since it uses less digits than its factorization.

1401114220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951597 (or 951580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1401114220020 its reverse (200224111041), we get a palindrome (1601338331061).

The spelling of 1401114220020 in words is "one trillion, four hundred one billion, one hundred fourteen million, two hundred twenty thousand, twenty".