Search a number
-
+
1001426244420 = 2235724121414621
BaseRepresentation
bin11101001001010011010…
…01111101001101000100
310112201212010011011000110
432210221221331031010
5112401410104310140
62044014315513020
7132231163426020
oct16445151751504
93481763134013
101001426244420
1135678000a498
121420bb758770
1373584905a54
143667da2b380
151b0b1a92380
hexe929a7d344

1001426244420 has 192 divisors, whose sum is σ = 3220060580352. Its totient is φ = 227791872000.

The previous prime is 1001426244389. The next prime is 1001426244421. The reversal of 1001426244420 is 244426241001.

1001426244420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10014262444202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1001426244421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216709710 + ... + 216714330.

It is an arithmetic number, because the mean of its divisors is an integer number (16771148856).

Almost surely, 21001426244420 is an apocalyptic number.

1001426244420 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 1001426244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610030290176).

1001426244420 is an abundant number, since it is smaller than the sum of its proper divisors (2218634335932).

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

1001426244420 is a wasteful number, since it uses less digits than its factorization.

1001426244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 1001426244420 in words is "one trillion, one billion, four hundred twenty-six million, two hundred forty-four thousand, four hundred twenty".