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156314000000 = 275678157
BaseRepresentation
bin1001000110010100001…
…0100101101010000000
3112221110210100221120102
42101211002211222000
510030112341000000
6155450515301532
714202415035344
oct2214502455200
9487423327512
10156314000000
11603241a5874
12263652aa8a8
1311981708432
1477cc179624
1540ed08e3d5
hex24650a5a80

156314000000 has 112 divisors (see below), whose sum is σ = 389258493990. Its totient is φ = 62524800000.

The previous prime is 156313999997. The next prime is 156314000023. The reversal of 156314000000 is 413651.

It can be written as a sum of positive squares in 7 ways, for example, as 132303877696 + 24010122304 = 363736^2 + 154952^2 .

It is a sliding number, since 156314000000 = 64000000 + 156250000000 and 1/64000000 + 1/156250000000 = 0.0000000156314000000.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1960922 + ... + 2039078.

Almost surely, 2156314000000 is an apocalyptic number.

156314000000 is a gapful number since it is divisible by the number (10) 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 156314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194629246995).

156314000000 is an abundant number, since it is smaller than the sum of its proper divisors (232944493990).

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

156314000000 is an frugal number, since it uses more digits than its factorization.

156314000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78201 (or 78164 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 156314000000 its reverse (413651), we get a palindrome (156314413651).

The spelling of 156314000000 in words is "one hundred fifty-six billion, three hundred fourteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78157 80000 100000 125000 156314 200000 250000 312628 390785 400000 500000 625256 781570 1000000 1250512 1563140 1953925 2000000 2501024 3126280 3907850 5002048 6252560 7815700 9769625 10004096 12505120 15631400 19539250 25010240 31262800 39078500 48848125 50020480 62525600 78157000 97696250 125051200 156314000 195392500 244240625 250102400 312628000 390785000 488481250 625256000 781570000 976962500 1221203125 1250512000 1563140000 1953925000 2442406250 3126280000 3907850000 4884812500 6252560000 7815700000 9769625000 15631400000 19539250000 31262800000 39078500000 78157000000 156314000000