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15314300000 = 2555374139
BaseRepresentation
bin11100100001100110…
…11010110001100000
31110112021120001020022
432100303122301200
5222330430100000
611011342333012
71051334254646
oct162063326140
943467501208
1015314300000
11654958328a
122b7488a168
1315a09b299c
14a53c7b196
155e96ea585
hex390cdac60

15314300000 has 144 divisors (see below), whose sum is σ = 38712990960. Its totient is φ = 5958720000.

The previous prime is 15314299999. The next prime is 15314300003. The reversal of 15314300000 is 341351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15314300003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3697931 + ... + 3702069.

It is an arithmetic number, because the mean of its divisors is an integer number (268840215).

Almost surely, 215314300000 is an apocalyptic number.

15314300000 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 15314300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356495480).

15314300000 is an abundant number, since it is smaller than the sum of its proper divisors (23398690960).

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

15314300000 is an frugal number, since it uses more digits than its factorization.

15314300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 15314300000 its reverse (341351), we get a palindrome (15314641351).

The spelling of 15314300000 in words is "fifteen billion, three hundred fourteen million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1850 2000 2500 2960 3125 3700 4000 4139 4625 5000 5920 6250 7400 8278 9250 10000 12500 14800 16556 18500 20000 20695 23125 25000 29600 33112 37000 41390 46250 50000 66224 74000 82780 92500 100000 103475 115625 132448 148000 153143 165560 185000 206950 231250 306286 331120 370000 413900 462500 517375 612572 662240 740000 765715 827800 925000 1034750 1225144 1531430 1655600 1850000 2069500 2450288 2586875 3062860 3311200 3700000 3828575 4139000 4900576 5173750 6125720 7657150 8278000 10347500 12251440 12934375 15314300 16556000 19142875 20695000 24502880 25868750 30628600 38285750 41390000 51737500 61257200 76571500 82780000 95714375 103475000 122514400 153143000 191428750 206950000 306286000 382857500 413900000 478571875 612572000 765715000 957143750 1531430000 1914287500 3062860000 3828575000 7657150000 15314300000