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215015142503340 = 22355172602458757
BaseRepresentation
bin110000111000111000011101…
…001100001011001110101100
31001012022020122222021022100000
4300320320131030023032230
5211140302002440101330
62041144332015304300
763201221446621314
oct6070703514131654
91035266588238300
10215015142503340
11625684565677a3
122014746021b090
1392c8ac17002ba
143b14b07616444
1519cd085cb6560
hexc38e1d30b3ac

215015142503340 has 144 divisors (see below), whose sum is σ = 716155010861472. Its totient is φ = 53964584764416.

The previous prime is 215015142503299. The next prime is 215015142503351. The reversal of 215015142503340 is 43305241510512.

215015142503340 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 1 + 5 + 142 + 503 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×2150151425033402 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 215015142503295 and 215015142503304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301146759 + ... + 1301311998.

It is an arithmetic number, because the mean of its divisors is an integer number (4973298686538).

Almost surely, 2215015142503340 is an apocalyptic number.

215015142503340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215015142503340 is an abundant number, since it is smaller than the sum of its proper divisors (501139868358132).

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

215015142503340 is a wasteful number, since it uses less digits than its factorization.

215015142503340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602458798 (or 2602458784 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 215015142503340 in words is "two hundred fifteen trillion, fifteen billion, one hundred forty-two million, five hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 765 810 918 972 1020 1215 1377 1530 1620 1836 2295 2430 2754 3060 4131 4590 4860 5508 6885 8262 9180 13770 16524 20655 27540 41310 82620 2602458757 5204917514 7807376271 10409835028 13012293785 15614752542 23422128813 26024587570 31229505084 39036881355 44241798869 46844257626 52049175140 70266386439 78073762710 88483597738 93688515252 117110644065 132725396607 140532772878 156147525420 176967195476 210799159317 221208994345 234221288130 265450793214 281065545756 351331932195 398176189821 421598318634 442417988690 468442576260 530901586428 632397477951 663626983035 702663864390 796352379642 843196637268 884835977380 1053995796585 1194528569463 1264794955902 1327253966070 1405327728780 1592704759284 1990880949105 2107991593170 2389057138926 2529589911804 2654507932140 3161987389755 3583585708389 3981761898210 4215983186340 4778114277852 5972642847315 6323974779510 7167171416778 7963523796420 10750757125167 11945285694630 12647949559020 14334342833556 17917928541945 21501514250334 23890571389260 35835857083890 43003028500668 53753785625835 71671714167780 107507571251670 215015142503340