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614514012 = 223753971423
BaseRepresentation
bin100100101000001…
…011110101011100
31120211022112202020
4210220023311130
52224303422022
6140551100140
721141166020
oct4450136534
91524275666
10614514012
11295971522
12151971650
139a40ac78
145b884380
1538e3835c
hex24a0bd5c

614514012 has 96 divisors (see below), whose sum is σ = 1688020992. Its totient is φ = 170366976.

The previous prime is 614513957. The next prime is 614514029. The reversal of 614514012 is 210415416.

It is a happy number.

It is a super-2 number, since 2×6145140122 = 755254941888672288, which contains 22 as substring.

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, 431133 + ... + 432555.

It is an arithmetic number, because the mean of its divisors is an integer number (17583552).

Almost surely, 2614514012 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 614514012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844010496).

614514012 is an abundant number, since it is smaller than the sum of its proper divisors (1073506980).

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

614514012 is a wasteful number, since it uses less digits than its factorization.

614514012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 614514012 is about 24789.3931349680. The cubic root of 614514012 is about 850.1794370889.

Adding to 614514012 its reverse (210415416), we get a palindrome (824929428).

The spelling of 614514012 in words is "six hundred fourteen million, five hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 97 106 159 194 212 291 318 371 388 582 636 679 742 1113 1164 1358 1423 1484 2037 2226 2716 2846 4074 4269 4452 5141 5692 8148 8538 9961 10282 15423 17076 19922 20564 29883 30846 35987 39844 59766 61692 71974 75419 107961 119532 138031 143948 150838 215922 226257 276062 301676 414093 431844 452514 527933 552124 828186 905028 966217 1055866 1583799 1656372 1932434 2111732 2898651 3167598 3864868 5797302 6335196 7315643 11594604 14631286 21946929 29262572 43893858 51209501 87787716 102419002 153628503 204838004 307257006 614514012