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385001235120 = 24351604171813
BaseRepresentation
bin1011001101000111101…
…11001010001010110000
31100210202101202011120110
411212203313022022300
522301440304010440
6452511144341320
736546455334345
oct5464367121260
91323671664513
10385001235120
11139307184347
1262748174840
132a3c8135538
14148c41c07cc
15a034c7a080
hex59a3dca2b0

385001235120 has 40 divisors (see below), whose sum is σ = 1193503829616. Its totient is φ = 102666995968.

The previous prime is 385001235083. The next prime is 385001235133. The reversal of 385001235120 is 21532100583.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 802085667 + ... + 802086146.

Almost surely, 2385001235120 is an apocalyptic number.

385001235120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385001235120 is an abundant number, since it is smaller than the sum of its proper divisors (808502594496).

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

385001235120 is a wasteful number, since it uses less digits than its factorization.

385001235120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604171829 (or 1604171823 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 385001235120 in words is "three hundred eighty-five billion, one million, two hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1604171813 3208343626 4812515439 6416687252 8020859065 9625030878 12833374504 16041718130 19250061756 24062577195 25666749008 32083436260 38500123512 48125154390 64166872520 77000247024 96250308780 128333745040 192500617560 385001235120