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14072271504 = 2434347145063
BaseRepresentation
bin11010001101100010…
…11101001010010000
31100022201110110102220
431012301131022100
5212310000142004
610244213341040
71005503222424
oct150661351220
940281413386
1014072271504
115a71480955
122888937780
131433594595
14976d2ab84
1557565bdd9
hex346c5d290

14072271504 has 80 divisors (see below), whose sum is σ = 37990520832. Its totient is φ = 4484156544.

The previous prime is 14072271487. The next prime is 14072271517. The reversal of 14072271504 is 40517227041.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24477 + ... + 169539.

Almost surely, 214072271504 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 14072271504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995260416).

14072271504 is an abundant number, since it is smaller than the sum of its proper divisors (23918249328).

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

14072271504 is a wasteful number, since it uses less digits than its factorization.

14072271504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145164 (or 145158 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

Adding to 14072271504 its reverse (40517227041), we get a palindrome (54589498545).

It can be divided in two parts, 140722 and 71504, that added together give a triangular number (212226 = T651).

The spelling of 14072271504 in words is "fourteen billion, seventy-two million, two hundred seventy-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 47 48 86 94 129 141 172 188 258 282 344 376 516 564 688 752 1032 1128 2021 2064 2256 4042 6063 8084 12126 16168 24252 32336 48504 97008 145063 290126 435189 580252 870378 1160504 1740756 2321008 3481512 6237709 6817961 6963024 12475418 13635922 18713127 20453883 24950836 27271844 37426254 40907766 49901672 54543688 74852508 81815532 99803344 109087376 149705016 163631064 293172323 299410032 327262128 586344646 879516969 1172689292 1759033938 2345378584 3518067876 4690757168 7036135752 14072271504