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4142012150000 = 2455673123091
BaseRepresentation
bin111100010001100011001…
…010011011000011110000
3112122222020221121101120102
4330101203022123003300
51020330320102300000
612450451503131532
7605151631240004
oct74214312330360
915588227541512
104142012150000
11135768797089a
1256a8bb5a3ba8
132407894ca11a
1410468dcaa704
1572b2368e3d5
hex3c46329b0f0

4142012150000 has 120 divisors (see below), whose sum is σ = 10045779872688. Its totient is φ = 1654329600000.

The previous prime is 4142012149997. The next prime is 4142012150011. The reversal of 4142012150000 is 512102414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 33588455 + ... + 33711545.

Almost surely, 24142012150000 is an apocalyptic number.

4142012150000 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 4142012150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022889936344).

4142012150000 is an abundant number, since it is smaller than the sum of its proper divisors (5903767722688).

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

4142012150000 is an equidigital number, since it uses as much as digits as its factorization.

4142012150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123797 (or 123771 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 4142012150000 its reverse (512102414), we get a palindrome (4142524252414).

The spelling of 4142012150000 in words is "four trillion, one hundred forty-two billion, twelve million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 673 1000 1250 1346 2000 2500 2692 3125 3365 5000 5384 6250 6730 10000 10768 12500 13460 16825 25000 26920 33650 50000 53840 67300 84125 123091 134600 168250 246182 269200 336500 420625 492364 615455 673000 841250 984728 1230910 1346000 1682500 1969456 2103125 2461820 3077275 3365000 4206250 4923640 6154550 6730000 8412500 9847280 12309100 15386375 16825000 24618200 30772750 33650000 49236400 61545500 76931875 82840243 123091000 153863750 165680486 246182000 307727500 331360972 384659375 414201215 615455000 662721944 769318750 828402430 1230910000 1325443888 1538637500 1656804860 2071006075 3077275000 3313609720 4142012150 6154550000 6627219440 8284024300 10355030375 16568048600 20710060750 33136097200 41420121500 51775151875 82840243000 103550303750 165680486000 207100607500 258875759375 414201215000 517751518750 828402430000 1035503037500 2071006075000 4142012150000