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314013442011030 = 2345387670916063
BaseRepresentation
bin100011101100101111111001…
…1101010100110111110010110
31112011211101120200101110020000
41013121133303222212332112
5312124244012123323110
63031503441144152130
7123066502552302156
oct10731376352467626
91464741520343200
10314013442011030
1191066397779a33
122b275aaa468646
131062a45718b038
14577849020c766
1526483248c01c0
hex11d97f3aa6f96

314013442011030 has 40 divisors (see below), whose sum is σ = 844347255187392. Its totient is φ = 83736917869392.

The previous prime is 314013442010953. The next prime is 314013442011037. The reversal of 314013442011030 is 30110244310413.

314013442011030 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 134 + 420 + 1 + 103 + 0 = 666.

It is a super-2 number, since 2×3140134420110302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314013442010985 and 314013442011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314013442011037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 193835457222 + ... + 193835458841.

Almost surely, 2314013442011030 is an apocalyptic number.

314013442011030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314013442011030 is an abundant number, since it is smaller than the sum of its proper divisors (530333813176362).

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

314013442011030 is a wasteful number, since it uses less digits than its factorization.

314013442011030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387670916082 (or 387670916073 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 314013442011030 its reverse (30110244310413), we get a palindrome (344123686321443).

The spelling of 314013442011030 in words is "three hundred fourteen trillion, thirteen billion, four hundred forty-two million, eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 387670916063 775341832126 1163012748189 1938354580315 2326025496378 3489038244567 3876709160630 5815063740945 6978076489134 10467114733701 11630127481890 17445191222835 20934229467402 31401344201103 34890382445670 52335573668505 62802688402206 104671147337010 157006721005515 314013442011030