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2540127423141 = 327112541361559
BaseRepresentation
bin100100111101101011011…
…001001000101010100101
322222211111211212212101200
4210331223121020222211
5313104140110020031
65222530214113113
7351342503564310
oct44755331105245
98884454785350
102540127423141
1189a297789200
1235036364b799
131556c0c8a2b9
148ad2b16d977
154611b8b78e6
hex24f6b648aa5

2540127423141 has 72 divisors (see below), whose sum is σ = 4610009738880. Its totient is φ = 1319281508160.

The previous prime is 2540127423103. The next prime is 2540127423173. The reversal of 2540127423141 is 1413247210452.

2540127423141 is a `hidden beast` number, since 2 + 540 + 1 + 2 + 7 + 42 + 31 + 41 = 666.

2540127423141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2540127423141 - 27 = 2540127423013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2540127423096 and 2540127423105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540127423541) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41232520 + ... + 41294078.

It is an arithmetic number, because the mean of its divisors is an integer number (64027913040).

Almost surely, 22540127423141 is an apocalyptic number.

2540127423141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2540127423141 is a deficient number, since it is larger than the sum of its proper divisors (2069882315739).

2540127423141 is a wasteful number, since it uses less digits than its factorization.

2540127423141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67007 (or 66993 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2540127423141 in words is "two trillion, five hundred forty billion, one hundred twenty-seven million, four hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 5413 7623 16239 37891 48717 59543 61559 113673 178629 184677 341019 416801 430913 535887 554031 654973 677149 1250403 1292739 1964919 2031447 3751209 3878217 4584811 4740043 5894757 6094341 7448639 13754433 14220129 22345917 41263299 42660387 52140473 67037751 156421419 333218867 469264257 999656601 2332532069 2998969803 3665407537 6997596207 10996222611 20992788621 25657852759 32988667833 40319482907 76973558277 120958448721 230920674831 282236380349 362875346163 846709141047 2540127423141