Search a number
-
+
314130242545350 = 235271129937842193
BaseRepresentation
bin100011101101100110010010…
…1100001010010011011000110
31112012020120001201012100220120
41013123030211201102123012
5312133202214042422400
63032033235145042410
7123111106151411250
oct10733144541223306
91465216051170816
10314130242545350
1191100984616140
122b294666786406
131063847c562b3a
14577ddb0668cd0
15264b3ada30ca0
hex11db3258526c6

314130242545350 has 192 divisors, whose sum is σ = 1004766612963840. Its totient is φ = 63022995302400.

The previous prime is 314130242545349. The next prime is 314130242545391. The reversal of 314130242545350 is 53545242031413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468586147 + ... + 469256046.

It is an arithmetic number, because the mean of its divisors is an integer number (5233159442520).

Almost surely, 2314130242545350 is an apocalyptic number.

314130242545350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314130242545350 is an abundant number, since it is smaller than the sum of its proper divisors (690636370418490).

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

314130242545350 is a wasteful number, since it uses less digits than its factorization.

314130242545350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937842255 (or 937842250 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 314130242545350 its reverse (53545242031413), we get a palindrome (367675484576763).

The spelling of 314130242545350 in words is "three hundred fourteen trillion, one hundred thirty billion, two hundred forty-two million, five hundred forty-five thousand, three hundred fifty".