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314531471136 = 2534179911451
BaseRepresentation
bin1001001001110111000…
…10010101111100100000
31010001212020110020122210
410210323202111330200
520123130024034021
6400254353002120
731503245251401
oct4447342257440
91101766406583
10314531471136
111114348a7683
1250b5bb53340
132387759133c
141131b0439a8
1582ad2c4e76
hex493b895f20

314531471136 has 48 divisors (see below), whose sum is σ = 845782807968. Its totient is φ = 102286656000.

The previous prime is 314531471083. The next prime is 314531471147. The reversal of 314531471136 is 631174135413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3145314711362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314531471094 and 314531471103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39951790 + ... + 39959661.

It is an arithmetic number, because the mean of its divisors is an integer number (17620475166).

Almost surely, 2314531471136 is an apocalyptic number.

It is an amenable number.

314531471136 is an abundant number, since it is smaller than the sum of its proper divisors (531251336832).

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

314531471136 is a wasteful number, since it uses less digits than its factorization.

314531471136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79911505 (or 79911497 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 314531471136 in words is "three hundred fourteen billion, five hundred thirty-one million, four hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 79911451 159822902 239734353 319645804 479468706 639291608 958937412 1278583216 1917874824 2557166432 3276369491 3835749648 6552738982 7671499296 9829108473 13105477964 19658216946 26210955928 39316433892 52421911856 78632867784 104843823712 157265735568 314531471136