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5814013740 = 2235478632389
BaseRepresentation
bin1010110101000101…
…01100111100101100
3120000012002111111020
411122202230330230
543401341414430
62400530254140
7264035205243
oct53242547454
916005074436
105814013740
11251394a637
121163127350
137186aa222
143d223795a
1524064ab10
hex15a8acf2c

5814013740 has 96 divisors (see below), whose sum is σ = 16651837440. Its totient is φ = 1515023616.

The previous prime is 5814013729. The next prime is 5814013741. The reversal of 5814013740 is 473104185.

It is not an unprimeable number, because it can be changed into a prime (5814013741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2432466 + ... + 2434854.

It is an arithmetic number, because the mean of its divisors is an integer number (173456640).

Almost surely, 25814013740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5814013740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325918720).

5814013740 is an abundant number, since it is smaller than the sum of its proper divisors (10837823700).

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

5814013740 is a wasteful number, since it uses less digits than its factorization.

5814013740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5814013740 is about 76249.6802616247. The cubic root of 5814013740 is about 1798.1476561725.

The spelling of 5814013740 in words is "five billion, eight hundred fourteen million, thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 863 940 1410 1726 2389 2589 2820 3452 4315 4778 5178 7167 8630 9556 10356 11945 12945 14334 17260 23890 25890 28668 35835 40561 47780 51780 71670 81122 112283 121683 143340 162244 202805 224566 243366 336849 405610 449132 486732 561415 608415 673698 811220 1122830 1216830 1347396 1684245 2061707 2245660 2433660 3368490 4123414 6185121 6736980 8246828 10308535 12370242 20617070 24740484 30925605 41234140 61851210 96900229 123702420 193800458 290700687 387600916 484501145 581401374 969002290 1162802748 1453503435 1938004580 2907006870 5814013740