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13423000272 = 24311206312323
BaseRepresentation
bin11001000000001001…
…01011101011010000
31021122110202001202020
430200010223223100
5204442242002042
610055541251440
7653430422403
oct144004535320
937573661666
1013423000272
115768a2a860
122727403b80
13135bc07216
149149d9d3a
1553865a3ec
hex32012bad0

13423000272 has 80 divisors (see below), whose sum is σ = 37849863168. Its totient is φ = 4065274240.

The previous prime is 13423000247. The next prime is 13423000277. The reversal of 13423000272 is 27200032431.

It is a super-2 number, since 2×134230002722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423000277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083103 + ... + 1095425.

Almost surely, 213423000272 is an apocalyptic number.

13423000272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13423000272 is an abundant number, since it is smaller than the sum of its proper divisors (24426862896).

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

13423000272 is a wasteful number, since it uses less digits than its factorization.

13423000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14408 (or 14402 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 13423000272 in words is "thirteen billion, four hundred twenty-three million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2063 4126 6189 8252 12323 12378 16504 22693 24646 24756 33008 36969 45386 49292 49512 68079 73938 90772 98584 99024 135553 136158 147876 181544 197168 271106 272316 295752 363088 406659 542212 544632 591504 813318 1084424 1089264 1626636 2168848 3253272 6506544 25422349 50844698 76267047 101689396 152534094 203378792 279645839 305068188 406757584 559291678 610136376 838937517 1118583356 1220272752 1677875034 2237166712 3355750068 4474333424 6711500136 13423000272