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314011424412 = 22357307150329
BaseRepresentation
bin1001001000111001000…
…10100001011010011100
31010000111222220010200000
410210130202201122130
520121043411040122
6400131014334300
731454332032240
oct4443442413234
91100458803600
10314011424412
111111982988a4
1250a3595a390
13237c390a79a
14112abd50420
15827c7ec0ac
hex491c8a169c

314011424412 has 144 divisors (see below), whose sum is σ = 943812629760. Its totient is φ = 89424715392.

The previous prime is 314011424381. The next prime is 314011424413. The reversal of 314011424412 is 214424110413.

314011424412 is a `hidden beast` number, since 3 + 1 + 401 + 1 + 4 + 244 + 12 = 666.

It is a super-2 number, since 2×3140114244122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314011424413) 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, 2013664 + ... + 2163992.

Almost surely, 2314011424412 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 314011424412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471906314880).

314011424412 is an abundant number, since it is smaller than the sum of its proper divisors (629801205348).

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

314011424412 is a wasteful number, since it uses less digits than its factorization.

314011424412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150662 (or 150648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 314011424412 its reverse (214424110413), we get a palindrome (528435534825).

The spelling of 314011424412 in words is "three hundred fourteen billion, eleven million, four hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 307 324 378 486 567 614 756 921 972 1134 1228 1701 1842 2149 2268 2763 3402 3684 4298 5526 6447 6804 8289 8596 11052 12894 16578 19341 24867 25788 33156 38682 49734 58023 74601 77364 99468 116046 149202 150329 174069 232092 298404 300658 348138 450987 522207 601316 696276 901974 1044414 1052303 1352961 1803948 2088828 2104606 2705922 3156909 4058883 4209212 5411844 6313818 8117766 9470727 12176649 12627636 16235532 18941454 24353298 28412181 36529947 37882908 46151003 48706596 56824362 73059894 85236543 92302006 113648724 138453009 146119788 170473086 184604012 255709629 276906018 323057021 340946172 415359027 511419258 553812036 646114042 830718054 969171063 1022838516 1246077081 1292228084 1661436108 1938342126 2492154162 2907513189 3738231243 3876684252 4984308324 5815026378 7476462486 8722539567 11214693729 11630052756 14952924972 17445079134 22429387458 26167618701 34890158268 44858774916 52335237402 78502856103 104670474804 157005712206 314011424412