Search a number
-
+
13214523515340 = 2235786413641147
BaseRepresentation
bin1100000001001011111011…
…1110101110000111001100
31201210021222212100020101110
43000102332332232013030
53213001321004442330
644034400204012020
72532501132400620
oct300227676560714
951707885306343
1013214523515340
114235280027a34
121595091231010
1374b17cbb2a44
1433982cd37180
1517db17b9edb0
hexc04befae1cc

13214523515340 has 96 divisors (see below), whose sum is σ = 42291380565504. Its totient is φ = 3020112138240.

The previous prime is 13214523515299. The next prime is 13214523515381. The reversal of 13214523515340 is 4351532541231.

It is an interprime number because it is at equal distance from previous prime (13214523515299) and next prime (13214523515381).

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 31 ways as a sum of consecutive naturals, for example, 1808647 + ... + 5449793.

It is an arithmetic number, because the mean of its divisors is an integer number (440535214224).

Almost surely, 213214523515340 is an apocalyptic number.

13214523515340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13214523515340 is an abundant number, since it is smaller than the sum of its proper divisors (29076857050164).

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

13214523515340 is a wasteful number, since it uses less digits than its factorization.

13214523515340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649807 (or 3649805 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 13214523515340 in words is "thirteen trillion, two hundred fourteen billion, five hundred twenty-three million, five hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 8641 17282 25923 34564 43205 51846 60487 86410 103692 120974 129615 172820 181461 241948 259230 302435 362922 518460 604870 725844 907305 1209740 1814610 3629220 3641147 7282294 10923441 14564588 18205735 21846882 25488029 36411470 43693764 50976058 54617205 72822940 76464087 101952116 109234410 127440145 152928174 218468820 254880290 305856348 382320435 509760580 764640870 1529281740 31463151227 62926302454 94389453681 125852604908 157315756135 188778907362 220242058589 314631512270 377557814724 440484117178 471947268405 629263024540 660726175767 880968234356 943894536810 1101210292945 1321452351534 1887789073620 2202420585890 2642904703068 3303630878835 4404841171780 6607261757670 13214523515340