Search a number
-
+
42425224000 = 265344311971
BaseRepresentation
bin100111100000101111…
…011000101101000000
311001111200112200101121
4213200233120231000
51143341324132000
631253451442024
73031223311465
oct474057305500
9131450480347
1042425224000
1116aa0a297a5
128280156314
134001660353
1420a671566c
151184891b1a
hex9e0bd8b40

42425224000 has 112 divisors (see below), whose sum is σ = 105312033216. Its totient is φ = 16930368000.

The previous prime is 42425223959. The next prime is 42425224007. The reversal of 42425224000 is 42252424.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42425224007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3538015 + ... + 3549985.

Almost surely, 242425224000 is an apocalyptic number.

42425224000 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 42425224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52656016608).

42425224000 is an abundant number, since it is smaller than the sum of its proper divisors (62886809216).

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

42425224000 is a wasteful number, since it uses less digits than its factorization.

42425224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 42425224000 its reverse (42252424), we get a palindrome (42467476424).

The spelling of 42425224000 in words is "forty-two billion, four hundred twenty-five million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 443 500 800 886 1000 1600 1772 2000 2215 3544 4000 4430 7088 8000 8860 11075 11971 14176 17720 22150 23942 28352 35440 44300 47884 55375 59855 70880 88600 95768 110750 119710 141760 177200 191536 221500 239420 299275 354400 383072 443000 478840 598550 708800 766144 886000 957680 1197100 1496375 1772000 1915360 2394200 2992750 3544000 3830720 4788400 5303153 5985500 9576800 10606306 11971000 19153600 21212612 23942000 26515765 42425224 47884000 53031530 84850448 95768000 106063060 132578825 169700896 212126120 265157650 339401792 424252240 530315300 662894125 848504480 1060630600 1325788250 1697008960 2121261200 2651576500 4242522400 5303153000 8485044800 10606306000 21212612000 42425224000