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4302133134040 = 2357411073799241
BaseRepresentation
bin111110100110101011000…
…111100000001011011000
3120020021120001111011110201
4332212223013200023120
51030441232040242130
613052212255351544
7622550604163240
oct76465307401330
916207501434421
104302133134040
111409584aa8065
125959478225b4
132528c6846821
1410c31d8b4b20
1576d95a78bca
hex3e9ab1e02d8

4302133134040 has 256 divisors, whose sum is σ = 11469780403200. Its totient is φ = 1421676748800.

The previous prime is 4302133134007. The next prime is 4302133134041. The reversal of 4302133134040 is 404313312034.

4302133134040 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-3 number, since 3×43021331340403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4302133134041) 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, 465543820 + ... + 465553060.

It is an arithmetic number, because the mean of its divisors is an integer number (44803829700).

Almost surely, 24302133134040 is an apocalyptic number.

4302133134040 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 4302133134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734890201600).

4302133134040 is an abundant number, since it is smaller than the sum of its proper divisors (7167647269160).

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

4302133134040 is a wasteful number, since it uses less digits than its factorization.

4302133134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 4302133134040 its reverse (404313312034), we get a palindrome (4706446446074).

The spelling of 4302133134040 in words is "four trillion, three hundred two billion, one hundred thirty-three million, one hundred thirty-four thousand, forty".