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65142345000 = 2335435912097
BaseRepresentation
bin111100101010110010…
…010100110100101000
320020010212210222221110
4330222302110310220
52031402420020000
645532002310320
74464200540115
oct745262246450
9206125728843
1065142345000
1125699178a67
12107600583a0
1361b1c37595
14321d80990c
151a63e25850
hexf2ac94d28

65142345000 has 160 divisors (see below), whose sum is σ = 204088420800. Its totient is φ = 17321472000.

The previous prime is 65142344989. The next prime is 65142345017. The reversal of 65142345000 is 54324156.

It is a super-2 number, since 2×651423450002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 5378952 + ... + 5391048.

It is an arithmetic number, because the mean of its divisors is an integer number (1275552630).

Almost surely, 265142345000 is an apocalyptic number.

65142345000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65142345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102044210400).

65142345000 is an abundant number, since it is smaller than the sum of its proper divisors (138946075800).

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

65142345000 is a wasteful number, since it uses less digits than its factorization.

65142345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12466 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 65142345000 its reverse (54324156), we get a palindrome (65196669156).

The spelling of 65142345000 in words is "sixty-five billion, one hundred forty-two million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 359 375 500 600 625 718 750 1000 1077 1250 1436 1500 1795 1875 2154 2500 2872 3000 3590 3750 4308 5000 5385 7180 7500 8616 8975 10770 12097 14360 15000 17950 21540 24194 26925 35900 36291 43080 44875 48388 53850 60485 71800 72582 89750 96776 107700 120970 134625 145164 179500 181455 215400 224375 241940 269250 290328 302425 359000 362910 448750 483880 538500 604850 673125 725820 897500 907275 1077000 1209700 1346250 1451640 1512125 1795000 1814550 2419400 2692500 3024250 3629100 4342823 4536375 5385000 6048500 7258200 7560625 8685646 9072750 12097000 13028469 15121250 17371292 18145500 21714115 22681875 26056938 30242500 34742584 36291000 43428230 45363750 52113876 60485000 65142345 86856460 90727500 104227752 108570575 130284690 173712920 181455000 217141150 260569380 325711725 434282300 521138760 542852875 651423450 868564600 1085705750 1302846900 1628558625 2171411500 2605693800 2714264375 3257117250 4342823000 5428528750 6514234500 8142793125 10857057500 13028469000 16285586250 21714115000 32571172500 65142345000