Search a number
-
+
1941004292220 = 22335718114831913
BaseRepresentation
bin11100001111101100110…
…111110001000001111100
320212120001221000101011000
4130033230313301001330
5223300134044322340
64043403550130300
7260142616156020
oct34175467610174
96776057011130
101941004292220
116891a23593a4
1227421a4b0990
13111060bb7c46
1469d33544380
1535753a07d30
hex1c3ecdf107c

1941004292220 has 384 divisors, whose sum is σ = 6947786926080. Its totient is φ = 440678983680.

The previous prime is 1941004292219. The next prime is 1941004292237. The reversal of 1941004292220 is 222924001491.

1941004292220 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 0 + 0 + 429 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1014637984 + ... + 1014639896.

It is an arithmetic number, because the mean of its divisors is an integer number (18093195120).

Almost surely, 21941004292220 is an apocalyptic number.

1941004292220 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 1941004292220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473893463040).

1941004292220 is an abundant number, since it is smaller than the sum of its proper divisors (5006782633860).

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

1941004292220 is a wasteful number, since it uses less digits than its factorization.

1941004292220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1941004292220 in words is "one trillion, nine hundred forty-one billion, four million, two hundred ninety-two thousand, two hundred twenty".