Search a number
-
+
42408622480 = 245731278803
BaseRepresentation
bin100111011111110000…
…000011100110010000
311001110112022020101111
4213133300003212100
51143323101404410
631252055543104
73030632225530
oct473760034620
9131415266344
1042408622480
1116a9261a834
12827668aa94
133ccb099a73
1420a44334c0
1511831b2b8a
hex9dfc03990

42408622480 has 120 divisors (see below), whose sum is σ = 116439529536. Its totient is φ = 14070885120.

The previous prime is 42408622471. The next prime is 42408622483. The reversal of 42408622480 is 8422680424.

It is a super-2 number, since 2×424086224802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42408622483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498759 + ... + 577561.

Almost surely, 242408622480 is an apocalyptic number.

42408622480 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 42408622480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58219764768).

42408622480 is an abundant number, since it is smaller than the sum of its proper divisors (74030907056).

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

42408622480 is a wasteful number, since it uses less digits than its factorization.

42408622480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78885 (or 78848 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 42408622480 in words is "forty-two billion, four hundred eight million, six hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 961 1085 1240 1736 1922 2170 2480 3472 3844 4340 4805 6727 7688 8680 9610 13454 15376 17360 19220 26908 33635 38440 53816 67270 76880 78803 107632 134540 157606 269080 315212 394015 538160 551621 630424 788030 1103242 1260848 1576060 2206484 2442893 2758105 3152120 4412968 4885786 5516210 6304240 8825936 9771572 11032420 12214465 17100251 19543144 22064840 24428930 34200502 39086288 44129680 48857860 68401004 75729683 85501255 97715720 136802008 151459366 171002510 195431440 273604016 302918732 342005020 378648415 530107781 605837464 684010040 757296830 1060215562 1211674928 1368020080 1514593660 2120431124 2650538905 3029187320 4240862248 5301077810 6058374640 8481724496 10602155620 21204311240 42408622480