Search a number
-
+
2033442789240 = 23351753131143567
BaseRepresentation
bin11101100101110010101…
…000101001011101111000
321012101200010100120022210
4131211302220221131320
5231303442323223430
64154052320015120
7266624415344232
oct35456250513570
97171603316283
102033442789240
11714418496385
1228a117a614a0
131199a2c84565
14705c2243252
1537d63eb22b0
hex1d972a29778

2033442789240 has 256 divisors, whose sum is σ = 6631325521920. Its totient is φ = 496899153920.

The previous prime is 2033442789101. The next prime is 2033442789241. The reversal of 2033442789240 is 429872443302.

It is a super-2 number, since 2×20334427892402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2033442789240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033442789241) 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, 14091937 + ... + 14235503.

It is an arithmetic number, because the mean of its divisors is an integer number (25903615320).

Almost surely, 22033442789240 is an apocalyptic number.

2033442789240 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 2033442789240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315662760960).

2033442789240 is an abundant number, since it is smaller than the sum of its proper divisors (4597882732680).

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

2033442789240 is a wasteful number, since it uses less digits than its factorization.

2033442789240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143782 (or 143778 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 2033442789240 in words is "two trillion, thirty-three billion, four hundred forty-two million, seven hundred eighty-nine thousand, two hundred forty".