Search a number
-
+
331404320044040 = 235611151118002991
BaseRepresentation
bin100101101011010010001010…
…0110001011111010000001000
31121110101221110212120010011012
41023112210110301133100020
5321414212021412402130
63132501013131423052
7126543112664454035
oct11326442461372010
91543357425503135
10331404320044040
1196660867a768a1
12312044642b4a88
13112bc3a74678b9
145bba0aa05238c
15284a8c0b8a995
hex12d6914c5f408

331404320044040 has 64 divisors (see below), whose sum is σ = 758542113054720. Its totient is φ = 130275300960000.

The previous prime is 331404320043961. The next prime is 331404320044121. The reversal of 331404320044040 is 40440023404133.

It is a junction number, because it is equal to n+sod(n) for n = 331404320043988 and 331404320044006.

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, 56193056 + ... + 61809935.

It is an arithmetic number, because the mean of its divisors is an integer number (11852220516480).

Almost surely, 2331404320044040 is an apocalyptic number.

It is an amenable number.

331404320044040 is an abundant number, since it is smaller than the sum of its proper divisors (427137793010680).

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

331404320044040 is a wasteful number, since it uses less digits than its factorization.

331404320044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118004214 (or 118004210 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 331404320044040 its reverse (40440023404133), we get a palindrome (371844343448173).

The spelling of 331404320044040 in words is "three hundred thirty-one trillion, four hundred four billion, three hundred twenty million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1151 1220 2302 2440 4604 5755 9208 11510 23020 46040 70211 140422 280844 351055 561688 702110 1404220 2808440 118002991 236005982 472011964 590014955 944023928 1180029910 2360059820 4720119640 7198182451 14396364902 28792729804 35990912255 57585459608 71981824510 135821442641 143963649020 271642885282 287927298040 543285770564 679107213205 1086571541128 1358214426410 2716428852820 5432857705640 8285108001101 16570216002202 33140432004404 41425540005505 66280864008808 82851080011010 165702160022020 331404320044040