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42170720000 = 2854263567
BaseRepresentation
bin100111010001100100…
…100001111100000000
311000211221122112112112
4213101210201330000
51142331201020000
631212320514452
73022013130353
oct472144417400
9130757575475
1042170720000
11169802aa112
12820aa7ba28
133c90a01876
1420809c629a
15116c36d235
hex9d1921f00

42170720000 has 90 divisors (see below), whose sum is σ = 105187616688. Its totient is φ = 16868224000.

The previous prime is 42170719961. The next prime is 42170720021. The reversal of 42170720000 is 2707124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28217 + ... + 291783.

Almost surely, 242170720000 is an apocalyptic number.

42170720000 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 42170720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52593808344).

42170720000 is an abundant number, since it is smaller than the sum of its proper divisors (63016896688).

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

42170720000 is an frugal number, since it uses more digits than its factorization.

42170720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263603 (or 263574 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The spelling of 42170720000 in words is "forty-two billion, one hundred seventy million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 263567 527134 1054268 1317835 2108536 2635670 4217072 5271340 6589175 8434144 10542680 13178350 16868288 21085360 26356700 32945875 33736576 42170720 52713400 65891750 67473152 84341440 105426800 131783500 164729375 168682880 210853600 263567000 329458750 337365760 421707200 527134000 658917500 843414400 1054268000 1317835000 1686828800 2108536000 2635670000 4217072000 5271340000 8434144000 10542680000 21085360000 42170720000