Search a number
-
+
42422844240 = 2432578417231
BaseRepresentation
bin100111100000100110…
…010011101101010000
311001111112001202222100
4213200212103231100
51143340222003430
631253324440400
73031164140430
oct474046235520
9131445052870
1042422844240
1116a9a653857
12827b3a9100
1340010090ca
1420a62962c0
151184571960
hex9e0993b50

42422844240 has 120 divisors (see below), whose sum is σ = 162822935808. Its totient is φ = 9696648960.

The previous prime is 42422844223. The next prime is 42422844241. The reversal of 42422844240 is 4244822424.

42422844240 is a `hidden beast` number, since 4 + 2 + 4 + 228 + 4 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×424228442402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42422844195 and 42422844204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422844241) 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, 4203576 + ... + 4213655.

Almost surely, 242422844240 is an apocalyptic number.

42422844240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42422844240 is an abundant number, since it is smaller than the sum of its proper divisors (120400091568).

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

42422844240 is a wasteful number, since it uses less digits than its factorization.

42422844240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417257 (or 8417248 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

It can be divided in two parts, 4242 and 2844240, that added together give a palindrome (2848482).

The spelling of 42422844240 in words is "forty-two billion, four hundred twenty-two million, eight hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 8417231 16834462 25251693 33668924 42086155 50503386 58920617 67337848 75755079 84172310 101006772 117841234 126258465 134675696 151510158 168344620 176761851 202013544 235682468 252516930 294603085 303020316 336689240 353523702 378775395 404027088 471364936 505033860 530285553 589206170 606040632 673378480 707047404 757550790 883809255 942729872 1010067720 1060571106 1178412340 1212081264 1414094808 1515101580 1767618510 2020135440 2121142212 2356824680 2651427765 2828189616 3030203160 3535237020 4242284424 4713649360 5302855530 6060406320 7070474040 8484568848 10605711060 14140948080 21211422120 42422844240