Search a number
-
+
12514151301240 = 23353122367150401
BaseRepresentation
bin1011011000011010110110…
…0010110000000001111000
31122022100012201110101220010
42312012231202300001320
53120012440213114430
642340531032501520
72431055222660031
oct266065542600170
948270181411803
1012514151301240
113a95249191386
1214a13abb4a8a0
136ca1055b2794
1431398c421a88
1516a7c60c1cb0
hexb61ad8b0078

12514151301240 has 128 divisors (see below), whose sum is σ = 38755491102720. Its totient is φ = 3229292544000.

The previous prime is 12514151301217. The next prime is 12514151301247. The reversal of 12514151301240 is 4210315141521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12514151301198 and 12514151301207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12514151301247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83130040 + ... + 83280440.

It is an arithmetic number, because the mean of its divisors is an integer number (302777274240).

Almost surely, 212514151301240 is an apocalyptic number.

12514151301240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12514151301240 is an abundant number, since it is smaller than the sum of its proper divisors (26241339801480).

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

12514151301240 is a wasteful number, since it uses less digits than its factorization.

12514151301240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172813 (or 172809 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 12514151301240 its reverse (4210315141521), we get a palindrome (16724466442761).

The spelling of 12514151301240 in words is "twelve trillion, five hundred fourteen billion, one hundred fifty-one million, three hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 22367 44734 67101 89468 111835 134202 150401 178936 223670 268404 300802 335505 447340 451203 536808 601604 671010 693377 752005 894680 902406 1203208 1342020 1386754 1504010 1804812 2080131 2256015 2684040 2773508 3008020 3466885 3609624 4160262 4512030 4662431 5547016 6016040 6933770 8320524 9024060 9324862 10400655 13867540 13987293 16641048 18048120 18649724 20801310 23312155 27735080 27974586 37299448 41602620 46624310 55949172 69936465 83205240 93248620 111898344 139872930 186497240 279745860 559491720 3364019167 6728038334 10092057501 13456076668 16820095835 20184115002 26912153336 33640191670 40368230004 50460287505 67280383340 80736460008 100920575010 104284594177 134560766680 201841150020 208569188354 312853782531 403682300040 417138376708 521422970885 625707565062 834276753416 1042845941770 1251415130124 1564268912655 2085691883540 2502830260248 3128537825310 4171383767080 6257075650620 12514151301240