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42203034720 = 2536571137127
BaseRepresentation
bin100111010011011111…
…110011010001100000
311000221012110022000000
4213103133303101200
51142412434102340
631215433300000
73022554606360
oct472337632140
9130835408000
1042203034720
11169975706a0
128219864600
133c976072c2
142084dd89a0
151170102d30
hex9d37f3460

42203034720 has 1344 divisors, whose sum is σ = 192919781376. Its totient is φ = 8465264640.

The previous prime is 42203034677. The next prime is 42203034721. The reversal of 42203034720 is 2743030224.

It is a super-2 number, since 2×422030347202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203034721) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 332307297 + ... + 332307423.

It is an arithmetic number, because the mean of its divisors is an integer number (143541504).

Almost surely, 242203034720 is an apocalyptic number.

42203034720 is a gapful number since it is divisible by the number (40) 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 42203034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96459890688).

42203034720 is an abundant number, since it is smaller than the sum of its proper divisors (150716746656).

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

42203034720 is a wasteful number, since it uses less digits than its factorization.

42203034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 42203034720 its reverse (2743030224), we get a palindrome (44946064944).

The spelling of 42203034720 in words is "forty-two billion, two hundred three million, thirty-four thousand, seven hundred twenty".