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314943600030 = 23537419677167
BaseRepresentation
bin1001001010101000001…
…10011111010110011110
31010002220221221120012220
410211110012133112132
520130001030200110
6400403314210210
731516411300353
oct4452406372636
91102827846186
10314943600030
111116264a7174
1251055b83966
1323911a8b4a7
1411359a8462a
1582d4582370
hex495419f59e

314943600030 has 64 divisors (see below), whose sum is σ = 778147292160. Its totient is φ = 81519951744.

The previous prime is 314943600029. The next prime is 314943600053. The reversal of 314943600030 is 30006349413.

It is a junction number, because it is equal to n+sod(n) for n = 314943599964 and 314943600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126507 + ... + 803673.

It is an arithmetic number, because the mean of its divisors is an integer number (12158551440).

Almost surely, 2314943600030 is an apocalyptic number.

314943600030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314943600030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389073646080).

314943600030 is an abundant number, since it is smaller than the sum of its proper divisors (463203692130).

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

314943600030 is a wasteful number, since it uses less digits than its factorization.

314943600030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677633.

The product of its (nonzero) digits is 23328, while the sum is 33.

Adding to 314943600030 its reverse (30006349413), we get a palindrome (344949949443).

The spelling of 314943600030 in words is "three hundred fourteen billion, nine hundred forty-three million, six hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 419 555 838 1110 1257 2095 2514 4190 6285 12570 15503 31006 46509 77515 93018 155030 232545 465090 677167 1354334 2031501 3385835 4063002 6771670 10157505 20315010 25055179 50110358 75165537 125275895 150331074 250551790 283732973 375827685 567465946 751655370 851198919 1418664865 1702397838 2837329730 4255994595 8511989190 10498120001 20996240002 31494360003 52490600005 62988720006 104981200010 157471800015 314943600030