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4023030431400 = 23352371439125933
BaseRepresentation
bin111010100010101111010…
…011001011111010101000
3112020121010220111211112220
4322202233103023322220
51011403131242301100
612320053224034040
7563440305306021
oct72425723137250
915217126454486
104023030431400
111311180886652
1254b834902920
132324a7281036
14dca03cadc48
156e9acccbaa0
hex3a8af4cbea8

4023030431400 has 192 divisors, whose sum is σ = 12817461772800. Its totient is φ = 1043079644160.

The previous prime is 4023030431393. The next prime is 4023030431411. The reversal of 4023030431400 is 41340303204.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31882834 + ... + 32008766.

It is an arithmetic number, because the mean of its divisors is an integer number (66757613400).

Almost surely, 24023030431400 is an apocalyptic number.

4023030431400 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 4023030431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408730886400).

4023030431400 is an abundant number, since it is smaller than the sum of its proper divisors (8794431341400).

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

4023030431400 is a wasteful number, since it uses less digits than its factorization.

4023030431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127428 (or 127419 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4023030431400 its reverse (41340303204), we get a palindrome (4064370734604).

The spelling of 4023030431400 in words is "four trillion, twenty-three billion, thirty million, four hundred thirty-one thousand, four hundred".