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314210211042 = 237132373113847
BaseRepresentation
bin1001001001010000110…
…00110101010011100010
31010001000211221112122210
410210220120311103202
520122000303223132
6400202435142550
731462264504140
oct4445030652342
91101024845583
10314210211042
1111128a522172
1250a90444a56
1323825b5b700
14112ca4d8590
15828eeb6bcc
hex49286354e2

314210211042 has 192 divisors, whose sum is σ = 801485328384. Its totient is φ = 80348785920.

The previous prime is 314210211041. The next prime is 314210211053. The reversal of 314210211042 is 240112012413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (314210211041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81674763 + ... + 81678609.

It is an arithmetic number, because the mean of its divisors is an integer number (4174402752).

Almost surely, 2314210211042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314210211042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400742664192).

314210211042 is an abundant number, since it is smaller than the sum of its proper divisors (487275117342).

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

314210211042 is a wasteful number, since it uses less digits than its factorization.

314210211042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 314210211042 its reverse (240112012413), we get a palindrome (554322223455).

The spelling of 314210211042 in words is "three hundred fourteen billion, two hundred ten million, two hundred eleven thousand, forty-two".