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4142015000 = 23541137331
BaseRepresentation
bin1111011011100010…
…0010001000011000
3101200122221011101222
43312320202020120
531440323440000
61523001431212
7204433355324
oct36670421030
911618834358
104142015000
1118360721a2
1297719b508
13510185c66
142b4160984
15193978a85
hexf6e22218

4142015000 has 80 divisors (see below), whose sum is σ = 9791959320. Its totient is φ = 1641920000.

The previous prime is 4142014999. The next prime is 4142015021. The reversal of 4142015000 is 5102414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142015000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 561335 + ... + 568665.

Almost surely, 24142015000 is an apocalyptic number.

4142015000 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 4142015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895979660).

4142015000 is an abundant number, since it is smaller than the sum of its proper divisors (5649944320).

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

4142015000 is a wasteful number, since it uses less digits than its factorization.

4142015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4142015000 is about 64358.4881736667. The cubic root of 4142015000 is about 1605.9692388807.

Adding to 4142015000 its reverse (5102414), we get a palindrome (4147117414).

The spelling of 4142015000 in words is "four billion, one hundred forty-two million, fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 625 904 1000 1130 1250 2260 2500 2825 4520 5000 5650 7331 11300 14125 14662 22600 28250 29324 36655 56500 58648 70625 73310 113000 141250 146620 183275 282500 293240 366550 565000 733100 828403 916375 1466200 1656806 1832750 3313612 3665500 4142015 4581875 6627224 7331000 8284030 9163750 16568060 18327500 20710075 33136120 36655000 41420150 82840300 103550375 165680600 207100750 414201500 517751875 828403000 1035503750 2071007500 4142015000