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314350522440031 = 71119234259330097
BaseRepresentation
bin100011101111001100110111…
…1001110011001100101011111
31112020000121122101200102222101
41013132121233032121211133
5312200304332221040111
63032322345243425531
7123133034663543530
oct10736315716314537
91466017571612871
10314350522440031
11911863428a8380
122b30b2a1b252a7
131065318623839c
14578a909c90687
152651ea25acbc1
hex11de66f39995f

314350522440031 has 48 divisors (see below), whose sum is σ = 413643743988480. Its totient is φ = 232048958319360.

The previous prime is 314350522440029. The next prime is 314350522440037. The reversal of 314350522440031 is 130044225053413.

It is not a de Polignac number, because 314350522440031 - 21 = 314350522440029 is a prime.

It is a super-2 number, since 2×3143505224400312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314350522440037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952132375 + ... + 952462471.

It is an arithmetic number, because the mean of its divisors is an integer number (8617577999760).

Almost surely, 2314350522440031 is an apocalyptic number.

314350522440031 is a deficient number, since it is larger than the sum of its proper divisors (99293221548449).

314350522440031 is a wasteful number, since it uses less digits than its factorization.

314350522440031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364412 (or 364393 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 314350522440031 its reverse (130044225053413), we get a palindrome (444394747493444).

The spelling of 314350522440031 in words is "three hundred fourteen trillion, three hundred fifty billion, five hundred twenty-two million, four hundred forty thousand, thirty-one".

Divisors: 1 7 11 19 77 133 209 361 1463 2527 3971 27797 34259 239813 330097 376849 650921 2310679 2637943 3631067 4556447 6271843 7160131 12367499 25417469 43902901 50120917 68990273 86572493 119165017 136042489 482931911 834155119 952297423 1310815187 9175706309 11308793123 79161551861 124396724353 214867069337 870777070471 1504069485359 2363537762707 4082474317403 16544764338949 28577320221821 44907217491433 314350522440031