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442400040420 = 2235131015615639
BaseRepresentation
bin1100111000000010001…
…10001110010111100100
31120021220121201121000020
412130001012032113210
524222013402243140
6535122532115140
743651041204132
oct6340106162744
91507817647006
10442400040420
11160691320318
12718a6a65ab0
13329449c1a60
14175ab400752
15b793e636d0
hex670118e5e4

442400040420 has 96 divisors (see below), whose sum is σ = 1347214498560. Its totient is φ = 107820249600.

The previous prime is 442400040377. The next prime is 442400040421. The reversal of 442400040420 is 24040004244.

It is not an unprimeable number, because it can be changed into a prime (442400040421) 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 31 ways as a sum of consecutive naturals, for example, 2729040 + ... + 2886599.

It is an arithmetic number, because the mean of its divisors is an integer number (14033484360).

Almost surely, 2442400040420 is an apocalyptic number.

It is an amenable number.

442400040420 is an abundant number, since it is smaller than the sum of its proper divisors (904814458140).

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

442400040420 is a wasteful number, since it uses less digits than its factorization.

442400040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615765 (or 5615763 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 442400040420 its reverse (24040004244), we get a palindrome (466440044664).

The spelling of 442400040420 in words is "four hundred forty-two billion, four hundred million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 195 202 260 303 390 404 505 606 780 1010 1212 1313 1515 2020 2626 3030 3939 5252 6060 6565 7878 13130 15756 19695 26260 39390 78780 5615639 11231278 16846917 22462556 28078195 33693834 56156390 67387668 73003307 84234585 112312780 146006614 168469170 219009921 292013228 336938340 365016535 438019842 567179539 730033070 876039684 1095049605 1134359078 1460066140 1701538617 2190099210 2268718156 2835897695 3403077234 4380198420 5671795390 6806154468 7373334007 8507693085 11343590780 14746668014 17015386170 22120002021 29493336028 34030772340 36866670035 44240004042 73733340070 88480008084 110600010105 147466680140 221200020210 442400040420