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4234200311040 = 28357475635953
BaseRepresentation
bin111101100111011010000…
…000010110010100000000
3112222210012200220012100020
4331213122000112110000
51023333120234423130
613001055331253440
7614624300543550
oct75473200262400
915883180805306
104234200311040
111392794765737
1258474914a280
1324938b76713b
14108d17643160
157521bb99e10
hex3d9da016500

4234200311040 has 576 divisors, whose sum is σ = 15814348333056. Its totient is φ = 945384062976.

The previous prime is 4234200310979. The next prime is 4234200311059. The reversal of 4234200311040 is 401130024324.

It is a super-2 number, since 2×42342003110402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4234200311040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711268704 + ... + 711274656.

It is an arithmetic number, because the mean of its divisors is an integer number (27455465856).

Almost surely, 24234200311040 is an apocalyptic number.

4234200311040 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 4234200311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907174166528).

4234200311040 is an abundant number, since it is smaller than the sum of its proper divisors (11580148022016).

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

4234200311040 is a wasteful number, since it uses less digits than its factorization.

4234200311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4234200311040 its reverse (401130024324), we get a palindrome (4635330335364).

The spelling of 4234200311040 in words is "four trillion, two hundred thirty-four billion, two hundred million, three hundred eleven thousand, forty".