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4130113031440 = 2451115683299261
BaseRepresentation
bin111100000110011101111…
…010111000110100010000
3112121211112200022112112121
4330012131322320310100
51020131432414001230
612441203035504024
7604251023346154
oct74063572706420
915554480275477
104130113031440
111352631152a10
1256853a5b8014
1323c611227376
14103c8182d064
1572678be977a
hex3c19deb8d10

4130113031440 has 80 divisors (see below), whose sum is σ = 10476171464256. Its totient is φ = 1501758502400.

The previous prime is 4130113031417. The next prime is 4130113031449. The reversal of 4130113031440 is 441303110314.

It is a happy number.

4130113031440 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 (80).

It is not an unprimeable number, because it can be changed into a prime (4130113031449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13651410 + ... + 13950670.

Almost surely, 24130113031440 is an apocalyptic number.

4130113031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130113031440 is an abundant number, since it is smaller than the sum of its proper divisors (6346058432816).

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

4130113031440 is a wasteful number, since it uses less digits than its factorization.

4130113031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314968 (or 314962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 4130113031440 its reverse (441303110314), we get a palindrome (4571416141754).

The spelling of 4130113031440 in words is "four trillion, one hundred thirty billion, one hundred thirteen million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 15683 31366 62732 78415 125464 156830 172513 250928 299261 313660 345026 598522 627320 690052 862565 1197044 1254640 1380104 1496305 1725130 2394088 2760208 2992610 3291871 3450260 4788176 5985220 6583742 6900520 11970440 13167484 13801040 16459355 23940880 26334968 32918710 52669936 65837420 131674840 263349680 4693310263 9386620526 18773241052 23466551315 37546482104 46933102630 51626412893 75092964208 93866205260 103252825786 187732410520 206505651572 258132064465 375464821040 413011303144 516264128930 826022606288 1032528257860 2065056515720 4130113031440