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13140242321250 = 235411769414241
BaseRepresentation
bin1011111100110111001101…
…1110011100111101100010
31201112012021002011121021210
42333031303132130331202
53210242204013240000
643540313300130550
72524231311561552
oct277156336347542
951465232147253
1013140242321250
114206822252430
121582800696a56
13744172801965
14335dc38d1162
1517bc1b7c2350
hexbf37379cf62

13140242321250 has 160 divisors (see below), whose sum is σ = 35872230461760. Its totient is φ = 3181363200000.

The previous prime is 13140242321231. The next prime is 13140242321257. The reversal of 13140242321250 is 5212324204131.

It is a happy number.

It is a super-2 number, since 2×131402423212502 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13140242321257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31514130 + ... + 31928370.

It is an arithmetic number, because the mean of its divisors is an integer number (224201440386).

Almost surely, 213140242321250 is an apocalyptic number.

13140242321250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140242321250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936115230880).

13140242321250 is an abundant number, since it is smaller than the sum of its proper divisors (22731988140510).

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

13140242321250 is a wasteful number, since it uses less digits than its factorization.

13140242321250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415046 (or 415031 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13140242321250 its reverse (5212324204131), we get a palindrome (18352566525381).

The spelling of 13140242321250 in words is "thirteen trillion, one hundred forty billion, two hundred forty-two million, three hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 275 330 375 550 625 750 769 825 1250 1375 1538 1650 1875 2307 2750 3750 3845 4125 4614 6875 7690 8250 8459 11535 13750 16918 19225 20625 23070 25377 38450 41250 42295 50754 57675 84590 96125 115350 126885 192250 211475 253770 288375 414241 422950 480625 576750 634425 828482 961250 1057375 1242723 1268850 1441875 2071205 2114750 2485446 2883750 3172125 4142410 4556651 5286875 6213615 6344250 9113302 10356025 10573750 12427230 13669953 15860625 20712050 22783255 27339906 31068075 31721250 45566510 51780125 62136150 68349765 103560250 113916275 136699530 155340375 227832550 258900625 310680750 318551329 341748825 517801250 569581375 637102658 683497650 776701875 955653987 1139162750 1553403750 1592756645 1708744125 1911307974 2847906875 3185513290 3417488250 3504064619 4778269935 5695813750 7008129238 7963783225 8543720625 9556539870 10512193857 15927566450 17087441250 17520323095 21024387714 23891349675 35040646190 39818916125 47782699350 52560969285 79637832250 87601615475 105121938570 119456748375 175203230950 199094580625 238913496750 262804846425 398189161250 438008077375 525609692850 597283741875 876016154750 1194567483750 1314024232125 2190040386875 2628048464250 4380080773750 6570121160625 13140242321250