Search a number
-
+
40240412420 = 225133117328859
BaseRepresentation
bin100101011110100000…
…111111011100000100
310211212102102202100012
4211132200333130010
51124403021144140
630253003405352
72623123601435
oct453640773404
9124772382305
1040240412420
111607a73349a
127970523858
133a43b19030
141d3a4ad48c
1510a7b75265
hex95e83f704

40240412420 has 96 divisors (see below), whose sum is σ = 94487178240. Its totient is φ = 14295098880.

The previous prime is 40240412413. The next prime is 40240412431. The reversal of 40240412420 is 2421404204.

40240412420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1379951 + ... + 1408809.

It is an arithmetic number, because the mean of its divisors is an integer number (984241440).

Almost surely, 240240412420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40240412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47243589120).

40240412420 is an abundant number, since it is smaller than the sum of its proper divisors (54246765820).

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

40240412420 is a wasteful number, since it uses less digits than its factorization.

40240412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29085 (or 29083 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 40240412420 its reverse (2421404204), we get a palindrome (42661816624).

The spelling of 40240412420 in words is "forty billion, two hundred forty million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 173 260 310 346 403 620 692 806 865 1612 1730 2015 2249 3460 4030 4498 5363 8060 8996 10726 11245 21452 22490 26815 28859 44980 53630 57718 69719 107260 115436 139438 144295 278876 288590 348595 375167 577180 697190 750334 894629 1394380 1500668 1789258 1875835 3578516 3751670 4473145 4992607 7503340 8946290 9985214 11630177 17892580 19970428 23260354 24963035 46520708 49926070 58150885 64903891 99852140 116301770 129807782 154770817 232603540 259615564 309541634 324519455 619083268 649038910 773854085 1298077820 1547708170 2012020621 3095416340 4024041242 8048082484 10060103105 20120206210 40240412420