Search a number
-
+
514201065223032 = 233211837822214087
BaseRepresentation
bin111010011101010011100001…
…1110101011111001101111000
32111102122010211100012012222100
41310322213003311133031320
51014344132240144114112
65021340412554223400
7213210541513612665
oct16472470365371570
92442563740165870
10514201065223032
111399274a1140470
1249807740424b60
13190bbc4c52c395
1490d9670254a6c
153e6a83a5372dc
hex1d3a9c3d5f378

514201065223032 has 96 divisors (see below), whose sum is σ = 1537534401137280. Its totient is φ = 153941173212480.

The previous prime is 514201065223031. The next prime is 514201065223039. The reversal of 514201065223032 is 230322560102415.

514201065223032 is a `hidden beast` number, since 5 + 1 + 4 + 20 + 106 + 522 + 3 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514201065223031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3911041308 + ... + 3911172779.

It is an arithmetic number, because the mean of its divisors is an integer number (16015983345180).

Almost surely, 2514201065223032 is an apocalyptic number.

It is an amenable number.

514201065223032 is an abundant number, since it is smaller than the sum of its proper divisors (1023333335914248).

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

514201065223032 is a wasteful number, since it uses less digits than its factorization.

514201065223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822214193 (or 7822214186 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 514201065223032 in words is "five hundred fourteen trillion, two hundred one billion, sixty-five million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2739 2988 3652 5478 5976 7304 8217 10956 16434 21912 32868 65736 7822214087 15644428174 23466642261 31288856348 46933284522 62577712696 70399926783 86044354957 93866569044 140799853566 172088709914 187733138088 258133064871 281599707132 344177419828 516266129742 563199414264 649243769221 688354839656 774399194613 1032532259484 1298487538442 1548798389226 1947731307663 2065064518968 2596975076884 3097596778452 3895462615326 5193950153768 5843193922989 6195193556904 7141681461431 7790925230652 11686387845978 14283362922862 15581850461304 21425044384293 23372775691956 28566725845724 42850088768586 46745551383912 57133451691448 64275133152879 85700177537172 128550266305758 171400355074344 257100532611516 514201065223032