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42334210240 = 265718899201
BaseRepresentation
bin100111011011010100…
…001100100011000000
311001021100021200222121
4213123110030203000
51143200024211430
631240441014024
73026036564320
oct473324144300
9131240250877
1042334210240
1116a54615813
128255784314
133cb8844b5a
1420985c3280
15117b8b4a7a
hex9db50c8c0

42334210240 has 56 divisors (see below), whose sum is σ = 115209535392. Its totient is φ = 14514585600.

The previous prime is 42334210223. The next prime is 42334210253. The reversal of 42334210240 is 4201243324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9447361 + ... + 9451840.

It is an arithmetic number, because the mean of its divisors is an integer number (2057313132).

Almost surely, 242334210240 is an apocalyptic number.

42334210240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42334210240 is an abundant number, since it is smaller than the sum of its proper divisors (72875325152).

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

42334210240 is a wasteful number, since it uses less digits than its factorization.

42334210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18899225 (or 18899215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42334210240 its reverse (4201243324), we get a palindrome (46535453564).

The spelling of 42334210240 in words is "forty-two billion, three hundred thirty-four million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 18899201 37798402 75596804 94496005 132294407 151193608 188992010 264588814 302387216 377984020 529177628 604774432 661472035 755968040 1058355256 1209548864 1322944070 1511936080 2116710512 2645888140 3023872160 4233421024 5291776280 6047744320 8466842048 10583552560 21167105120 42334210240