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14300144443332 = 223211195932213627
BaseRepresentation
bin1101000000011000001100…
…0001111001111111000100
31212122002011122122110111200
43100012003001321333010
53333243143434141312
650225221244102500
73004102624130466
oct320060301717704
955562148573450
1014300144443332
114613725809340
12172b569534a30
137c9661987487
143761b8850136
1519bea60e00dc
hexd0183079fc4

14300144443332 has 144 divisors (see below), whose sum is σ = 42212738131200. Its totient is φ = 4035723065280.

The previous prime is 14300144443331. The next prime is 14300144443367. The reversal of 14300144443332 is 23334444100341.

14300144443332 is a `hidden beast` number, since 1 + 4 + 300 + 14 + 4 + 4 + 4 + 3 + 332 = 666.

It is a super-2 number, since 2×143001444433322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14300144443331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15662898 + ... + 16550729.

It is an arithmetic number, because the mean of its divisors is an integer number (293144014800).

Almost surely, 214300144443332 is an apocalyptic number.

14300144443332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14300144443332 is an abundant number, since it is smaller than the sum of its proper divisors (27912593687868).

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

14300144443332 is a wasteful number, since it uses less digits than its factorization.

14300144443332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32213726 (or 32213721 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 14300144443332 its reverse (23334444100341), we get a palindrome (37634588543673).

The spelling of 14300144443332 in words is "fourteen trillion, three hundred billion, one hundred forty-four million, four hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 59 66 76 99 114 118 132 171 177 198 209 228 236 342 354 396 418 531 627 649 684 708 836 1062 1121 1254 1298 1881 1947 2124 2242 2508 2596 3363 3762 3894 4484 5841 6726 7524 7788 10089 11682 12331 13452 20178 23364 24662 36993 40356 49324 73986 110979 147972 221958 443916 32213627 64427254 96640881 128854508 193281762 289922643 354349897 386563524 579845286 612058913 708699794 1063049691 1159690572 1224117826 1417399588 1836176739 1900603993 2126099382 2448235652 3189149073 3672353478 3801207986 4252198764 5508530217 5701811979 6378298146 6732648043 7344706956 7602415972 11017060434 11403623958 12756596292 13465296086 17105435937 20197944129 20906643923 22034120868 22807247916 26930592172 34210871874 36111475867 40395888258 41813287846 60593832387 62719931769 68421743748 72222951734 80791776516 83626575692 108334427601 121187664774 125439863538 144445903468 188159795307 216668855202 242375329548 250879727076 325003282803 376319590614 397226234537 433337710404 650006565606 752639181228 794452469074 1191678703611 1300013131212 1588904938148 2383357407222 3575036110833 4766714814444 7150072221666 14300144443332