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241222323031140 = 2235112137171028717
BaseRepresentation
bin110110110110001111110010…
…111000000100110001100100
31011122002121222102222122202110
4312312033302320010301210
5223104141304143444030
62213012001054241020
7101544511015614663
oct6666176270046144
91148077872878673
10241222323031140
116a9518a3775180
122307a603ab6170
13a47a223b960b9
14437d319254dda
151cd4b2d6331b0
hexdb63f2e04c64

241222323031140 has 96 divisors (see below), whose sum is σ = 737169348553344. Its totient is φ = 58450773980160.

The previous prime is 241222323031103. The next prime is 241222323031187. The reversal of 241222323031140 is 41130323222142.

It is a happy number.

241222323031140 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 241222323031098 and 241222323031107.

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, 84103939 + ... + 86924778.

It is an arithmetic number, because the mean of its divisors is an integer number (7678847380764).

Almost surely, 2241222323031140 is an apocalyptic number.

241222323031140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241222323031140 is an abundant number, since it is smaller than the sum of its proper divisors (495947025522204).

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

241222323031140 is a wasteful number, since it uses less digits than its factorization.

241222323031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171030877 (or 171030875 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 241222323031140 its reverse (41130323222142), we get a palindrome (282352646253282).

The spelling of 241222323031140 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred twenty-three million, thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2137 4274 6411 8548 10685 12822 21370 23507 25644 32055 42740 47014 64110 70521 94028 117535 128220 141042 235070 282084 352605 470140 705210 1410420 171028717 342057434 513086151 684114868 855143585 1026172302 1710287170 1881315887 2052344604 2565430755 3420574340 3762631774 5130861510 5643947661 7525263548 9406579435 10261723020 11287895322 18813158870 22575790644 28219738305 37626317740 56439476610 112878953220 365488368229 730976736458 1096465104687 1461953472916 1827441841145 2192930209374 3654883682290 4020372050519 4385860418748 5482325523435 7309767364580 8040744101038 10964651046870 12061116151557 16081488202076 20101860252595 21929302093740 24122232303114 40203720505190 48244464606228 60305580757785 80407441010380 120611161515570 241222323031140