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314111212000 = 25531015631381
BaseRepresentation
bin1001001001000100111…
…11001011100111100000
31010000202221122212111121
410210202133023213200
520121244432241000
6400144541222024
731456653151165
oct4444237134740
91100687585447
10314111212000
11111239654783
1250a63261914
132380b4a86b1
14112bb2c806c
15828645db1a
hex49227cb9e0

314111212000 has 192 divisors, whose sum is σ = 781362324288. Its totient is φ = 124089600000.

The previous prime is 314111211979. The next prime is 314111212013. The reversal of 314111212000 is 212111413.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 227451310 + ... + 227452690.

It is an arithmetic number, because the mean of its divisors is an integer number (4069595439).

Almost surely, 2314111212000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314111212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390681162144).

314111212000 is an abundant number, since it is smaller than the sum of its proper divisors (467251112288).

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

314111212000 is a wasteful number, since it uses less digits than its factorization.

314111212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 314111212000 its reverse (212111413), we get a palindrome (314323323413).

The spelling of 314111212000 in words is "three hundred fourteen billion, one hundred eleven million, two hundred twelve thousand".