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42240441200 = 2452173673907
BaseRepresentation
bin100111010101101110…
…011111101101110000
311001000210211202001012
4213111232133231300
51143002023104300
631223251130052
73023520553226
oct472556375560
9131023752035
1042240441200
1116a0669a741
12822a2a3928
133ca22a3509
142089d74b16
151173541435
hex9d5b9fb70

42240441200 has 120 divisors (see below), whose sum is σ = 102333630288. Its totient is φ = 16755056640.

The previous prime is 42240441149. The next prime is 42240441203. The reversal of 42240441200 is 214404224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240441203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46571147 + ... + 46572053.

Almost surely, 242240441200 is an apocalyptic number.

42240441200 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 42240441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166815144).

42240441200 is an abundant number, since it is smaller than the sum of its proper divisors (60093189088).

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

42240441200 is a wasteful number, since it uses less digits than its factorization.

42240441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 42240441200 its reverse (214404224), we get a palindrome (42454845424).

The spelling of 42240441200 in words is "forty-two billion, two hundred forty million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 173 200 346 400 673 692 865 907 1346 1384 1730 1814 2692 2768 3365 3460 3628 4325 4535 5384 6730 6920 7256 8650 9070 10768 13460 13840 14512 16825 17300 18140 22675 26920 33650 34600 36280 45350 53840 67300 69200 72560 90700 116429 134600 156911 181400 232858 269200 313822 362800 465716 582145 610411 627644 784555 931432 1164290 1220822 1255288 1569110 1862864 2328580 2441644 2510576 2910725 3052055 3138220 3922775 4657160 4883288 5821450 6104110 6276440 7845550 9314320 9766576 11642900 12208220 12552880 15260275 15691100 23285800 24416440 30520550 31382200 46571600 48832880 61041100 62764400 105601103 122082200 211202206 244164400 422404412 528005515 844808824 1056011030 1689617648 2112022060 2640027575 4224044120 5280055150 8448088240 10560110300 21120220600 42240441200