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40514500215 = 3457217120091
BaseRepresentation
bin100101101110110110…
…100011011001110111
310212120112011212010000
4211232312203121313
51130433203001330
630340114202343
72632662366300
oct455666433167
9125515155100
1040514500215
1116200419732
127a282833b3
133a88843667
141d64a597a7
1510c1c66560
hex96eda3677

40514500215 has 120 divisors (see below), whose sum is σ = 89453648592. Its totient is φ = 17431303680.

The previous prime is 40514500189. The next prime is 40514500219. The reversal of 40514500215 is 51200541504.

40514500215 is a `hidden beast` number, since 405 + 1 + 45 + 0 + 0 + 215 = 666.

It is not a de Polignac number, because 40514500215 - 25 = 40514500183 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40514500219) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 277320 + ... + 397410.

Almost surely, 240514500215 is an apocalyptic number.

40514500215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40514500215 is an abundant number, since it is smaller than the sum of its proper divisors (48939148377).

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

40514500215 is a wasteful number, since it uses less digits than its factorization.

40514500215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120139 (or 120123 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 40514500215 in words is "forty billion, five hundred fourteen million, five hundred thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 49 51 63 81 85 105 119 135 147 153 189 245 255 315 357 405 441 459 567 595 735 765 833 945 1071 1323 1377 1785 2205 2295 2499 2835 3213 3969 4165 5355 6615 6885 7497 9639 12495 16065 19845 22491 37485 48195 67473 112455 120091 337365 360273 600455 840637 1080819 1801365 2041547 2521911 3242457 4203185 5404095 5884459 6124641 7565733 9727371 10207735 12609555 14290829 16212285 17653377 18373923 22697199 29422295 30623205 37828665 42872487 48636855 52960131 55121769 68091597 71454145 88266885 91869615 100035803 113485995 128617461 158880393 165365307 214362435 264800655 275608845 300107409 340457985 385852383 476641179 500179015 643087305 794401965 826826535 900322227 1157557149 1500537045 1929261915 2383205895 2700966681 4501611135 5787785745 8102900043 13504833405 40514500215