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40304113040 = 2454759971873
BaseRepresentation
bin100101100010010011…
…111111010110010000
310212000212022002011102
4211202103333112100
51130020323104130
630303201003532
72624526210512
oct454223772620
9125025262142
1040304113040
1116102691734
1279899235a8
133a540904c9
141d44b31bb2
1510ad559645
hex9624ff590

40304113040 has 160 divisors (see below), whose sum is σ = 98378703360. Its totient is φ = 15343091712.

The previous prime is 40304113019. The next prime is 40304113051. The reversal of 40304113040 is 4031140304.

It is a happy number.

40304113040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21517544 + ... + 21519416.

It is an arithmetic number, because the mean of its divisors is an integer number (614866896).

Almost surely, 240304113040 is an apocalyptic number.

40304113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40304113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49189351680).

40304113040 is an abundant number, since it is smaller than the sum of its proper divisors (58074590320).

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

40304113040 is a wasteful number, since it uses less digits than its factorization.

40304113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40304113040 its reverse (4031140304), we get a palindrome (44335253344).

The spelling of 40304113040 in words is "forty billion, three hundred four million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 59 80 94 97 118 188 194 235 236 295 376 388 470 472 485 590 752 776 940 944 970 1180 1552 1873 1880 1940 2360 2773 3746 3760 3880 4559 4720 5546 5723 7492 7760 9118 9365 11092 11446 13865 14984 18236 18730 22184 22795 22892 27730 28615 29968 36472 37460 44368 45590 45784 55460 57230 72944 74920 88031 91180 91568 110507 110920 114460 149840 176062 181681 182360 221014 221840 228920 268981 352124 363362 364720 440155 442028 457840 537962 552535 704248 726724 880310 884056 908405 1075924 1105070 1344905 1408496 1453448 1760620 1768112 1816810 2151848 2210140 2689810 2906896 3521240 3633620 4303696 4420280 5193829 5379620 7042480 7267240 8539007 8840560 10387658 10719179 10759240 14534480 17078014 20775316 21438358 21518480 25969145 34156028 41550632 42695035 42876716 51938290 53595895 68312056 83101264 85390070 85753432 103876580 107191790 136624112 170780140 171506864 207753160 214383580 341560280 415506320 428767160 503801413 683120560 857534320 1007602826 2015205652 2519007065 4030411304 5038014130 8060822608 10076028260 20152056520 40304113040