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130440012322041 = 33231492116681139
BaseRepresentation
bin11101101010001001101110…
…100110010101010011111001
3122002211221110201211012221000
4131222021232212111103321
5114044112121123301131
61141231151525035213
736321660050553552
oct3552115646252371
9562757421735830
10130440012322041
1138620331434374
1212768194255b09
1357a259569b516
14242d48a419329
15101309daaece6
hex76a26e9954f9

130440012322041 has 64 divisors (see below), whose sum is σ = 203961841920000. Its totient is φ = 82229308539840.

The previous prime is 130440012322013. The next prime is 130440012322069. The reversal of 130440012322041 is 140223210044031.

130440012322041 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 400 + 1 + 232 + 20 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (130440012322013) and next prime (130440012322069).

It is not a de Polignac number, because 130440012322041 - 214 = 130440012305657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130440012321996 and 130440012322014.

It is not an unprimeable number, because it can be changed into a prime (130440012322541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16183050 + ... + 22864188.

It is an arithmetic number, because the mean of its divisors is an integer number (3186903780000).

Almost surely, 2130440012322041 is an apocalyptic number.

It is an amenable number.

130440012322041 is a deficient number, since it is larger than the sum of its proper divisors (73521829597959).

130440012322041 is a wasteful number, since it uses less digits than its factorization.

130440012322041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681531 (or 6681525 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130440012322041 its reverse (140223210044031), we get a palindrome (270663222366072).

The spelling of 130440012322041 in words is "one hundred thirty trillion, four hundred forty billion, twelve million, three hundred twenty-two thousand, forty-one".

Divisors: 1 3 9 23 27 69 149 207 211 447 621 633 1341 1899 3427 4023 4853 5697 10281 14559 30843 31439 43677 92529 94317 131031 282951 723097 848853 2169291 6507873 6681139 19523619 20043417 60130251 153666197 180390753 460998591 995489711 1382995773 1409720329 2986469133 4148987319 4229160987 8959407399 12687482961 22896263353 26878222197 32423567567 38062448883 68688790059 97270702701 206066370177 210048329021 291812108103 618199110531 630144987063 875436324309 1890434961189 4831111567483 5671304883567 14493334702449 43480004107347 130440012322041