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42445115040 = 2535359324611
BaseRepresentation
bin100111100001111011…
…010000111010100000
311001120001222020202210
4213201323100322200
51143411422140130
631255442042120
73031554345036
oct474173207240
9131501866683
1042445115040
1117001185179
128286949340
134005805cb3
1420a9212556
1511864c05b0
hex9e1ed0ea0

42445115040 has 96 divisors (see below), whose sum is σ = 133744758336. Its totient is φ = 11315087360.

The previous prime is 42445115033. The next prime is 42445115087. The reversal of 42445115040 is 4051154424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42445114989 and 42445115007.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1712335 + ... + 1736945.

It is an arithmetic number, because the mean of its divisors is an integer number (1393174566).

Almost surely, 242445115040 is an apocalyptic number.

42445115040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42445115040 is an abundant number, since it is smaller than the sum of its proper divisors (91299643296).

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

42445115040 is a wasteful number, since it uses less digits than its factorization.

42445115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28222 (or 28214 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 42445115040 its reverse (4051154424), we get a palindrome (46496269464).

The spelling of 42445115040 in words is "forty-two billion, four hundred forty-five million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3593 7186 10779 14372 17965 21558 24611 28744 35930 43116 49222 53895 57488 71860 73833 86232 98444 107790 114976 123055 143720 147666 172464 196888 215580 246110 287440 295332 344928 369165 393776 431160 492220 574880 590664 738330 787552 862320 984440 1181328 1476660 1724640 1968880 2362656 2953320 3937760 5906640 11813280 88427323 176854646 265281969 353709292 442136615 530563938 707418584 884273230 1061127876 1326409845 1414837168 1768546460 2122255752 2652819690 2829674336 3537092920 4244511504 5305639380 7074185840 8489023008 10611278760 14148371680 21222557520 42445115040