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40313114040 = 23354343318043
BaseRepresentation
bin100101100010110110…
…010100110110111000
310212001111020101012210
4211202312110312320
51130030124122130
630304121535120
72624665546503
oct454266246670
9125044211183
1040313114040
111610777a281
1279909444a0
133a55bc2444
141d45dd613a
1510ae2365b0
hex962d94db8

40313114040 has 128 divisors (see below), whose sum is σ = 124044560640. Its totient is φ = 10475329536.

The previous prime is 40313114011. The next prime is 40313114041. The reversal of 40313114040 is 4041131304.

40313114040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40313113998 and 40313114016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40313114041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225259 + ... + 2243301.

It is an arithmetic number, because the mean of its divisors is an integer number (969098130).

Almost surely, 240313114040 is an apocalyptic number.

40313114040 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 40313114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62022280320).

40313114040 is an abundant number, since it is smaller than the sum of its proper divisors (83731446600).

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

40313114040 is a wasteful number, since it uses less digits than its factorization.

40313114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18533 (or 18529 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40313114040 its reverse (4041131304), we get a palindrome (44354245344).

The spelling of 40313114040 in words is "forty billion, three hundred thirteen million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 433 516 645 860 866 1032 1290 1299 1720 1732 2165 2580 2598 3464 4330 5160 5196 6495 8660 10392 12990 17320 18043 18619 25980 36086 37238 51960 54129 55857 72172 74476 90215 93095 108258 111714 144344 148952 180430 186190 216516 223428 270645 279285 360860 372380 433032 446856 541290 558570 721720 744760 775849 1082580 1117140 1551698 2165160 2234280 2327547 3103396 3879245 4655094 6206792 7758490 7812619 9310188 11637735 15516980 15625238 18620376 23275470 23437857 31033960 31250476 39063095 46550940 46875714 62500952 78126190 93101880 93751428 117189285 156252380 187502856 234378570 312504760 335942617 468757140 671885234 937514280 1007827851 1343770468 1679713085 2015655702 2687540936 3359426170 4031311404 5039139255 6718852340 8062622808 10078278510 13437704680 20156557020 40313114040