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40304113440 = 2535613313691
BaseRepresentation
bin100101100010010011…
…111111011100100000
310212000212022002201020
4211202103333130200
51130020323112230
630303201005440
72624526211623
oct454223773440
9125025262636
1040304113440
1116102691a68
127989923880
133a54090746
141d44b31dba
1510ad559810
hex9624ff720

40304113440 has 96 divisors (see below), whose sum is σ = 126987932736. Its totient is φ = 10745226240.

The previous prime is 40304113403. The next prime is 40304113459. The reversal of 40304113440 is 4431140304.

40304113440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40304113440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2936995 + ... + 2950685.

It is an arithmetic number, because the mean of its divisors is an integer number (1322790966).

Almost surely, 240304113440 is an apocalyptic number.

40304113440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40304113440 is an abundant number, since it is smaller than the sum of its proper divisors (86683819296).

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

40304113440 is a wasteful number, since it uses less digits than its factorization.

40304113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19842 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40304113440 its reverse (4431140304), we get a palindrome (44735253744).

The spelling of 40304113440 in words is "forty billion, three hundred four million, one hundred thirteen thousand, four hundred 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 6133 12266 13691 18399 24532 27382 30665 36798 41073 49064 54764 61330 68455 73596 82146 91995 98128 109528 122660 136910 147192 164292 183990 196256 205365 219056 245320 273820 294384 328584 367980 410730 438112 490640 547640 588768 657168 735960 821460 981280 1095280 1314336 1471920 1642920 2190560 2943840 3285840 6571680 83966903 167933806 251900709 335867612 419834515 503801418 671735224 839669030 1007602836 1259503545 1343470448 1679338060 2015205672 2519007090 2686940896 3358676120 4030411344 5038014180 6717352240 8060822688 10076028360 13434704480 20152056720 40304113440