Search a number
-
+
15010514343440 = 2457112436771809
BaseRepresentation
bin1101101001101110100001…
…1000000001011000010000
31222010222202112221100220222
43122123220120001120100
53431413013132442230
651531422440252212
73106321352505110
oct332335030013020
958128675840828
1015010514343440
114867a18029410
12182517aa71068
1384b640644885
1439c727085040
151b06d07706e5
hexda6e8601610

15010514343440 has 80 divisors (see below), whose sum is σ = 43510997439360. Its totient is φ = 4678601871360.

The previous prime is 15010514343389. The next prime is 15010514343443. The reversal of 15010514343440 is 4434341501051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 15010514343440.

It is not an unprimeable number, because it can be changed into a prime (15010514343443) 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 15 ways as a sum of consecutive naturals, for example, 1218379745 + ... + 1218392064.

It is an arithmetic number, because the mean of its divisors is an integer number (543887467992).

Almost surely, 215010514343440 is an apocalyptic number.

15010514343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15010514343440 is an abundant number, since it is smaller than the sum of its proper divisors (28500483095920).

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

15010514343440 is a wasteful number, since it uses less digits than its factorization.

15010514343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436771840 (or 2436771834 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 15010514343440 its reverse (4434341501051), we get a palindrome (19444855844491).

The spelling of 15010514343440 in words is "fifteen trillion, ten billion, five hundred fourteen million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 2436771809 4873543618 9747087236 12183859045 17057402663 19494174472 24367718090 26804489899 34114805326 38988348944 48735436180 53608979798 68229610652 85287013315 97470872360 107217959596 134022449495 136459221304 170574026630 187631429293 194941744720 214435919192 268044898990 272918442608 341148053260 375262858586 428871838384 536089797980 682296106520 750525717172 938157146465 1072179595960 1364592213040 1501051434344 1876314292930 2144359191920 3002102868688 3752628585860 7505257171720 15010514343440