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14103300000024 = 23322932092104847
BaseRepresentation
bin1100110100111010111000…
…1011111100100100011000
31211221021002020002200000100
43031032232023330210120
53322032024300000044
645554544440335400
72653633631021304
oct315165613744430
954837066080010
1014103300000024
1145481a31a5634
1216b9392774560
137b3c21345a11
1436a8638a8d04
15196cd4bda869
hexcd3ae2fc918

14103300000024 has 96 divisors (see below), whose sum is σ = 39525888168000. Its totient is φ = 4537576490496.

The previous prime is 14103300000019. The next prime is 14103300000037. The reversal of 14103300000024 is 42000000330141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14103299999952 and 14103300000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5647969 + ... + 7752815.

It is an arithmetic number, because the mean of its divisors is an integer number (411728001750).

Almost surely, 214103300000024 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 14103300000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762944084000).

14103300000024 is an abundant number, since it is smaller than the sum of its proper divisors (25422588167976).

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

14103300000024 is a wasteful number, since it uses less digits than its factorization.

14103300000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108097 (or 2108090 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14103300000024 its reverse (42000000330141), we get a palindrome (56103300330165).

The spelling of 14103300000024 in words is "fourteen trillion, one hundred three billion, three hundred million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 3209 6418 9627 12836 19254 25672 28881 38508 57762 77016 93061 115524 186122 231048 279183 372244 558366 744488 837549 1116732 1675098 2104847 2233464 3350196 4209694 6314541 6700392 8419388 12629082 16838776 18943623 25258164 37887246 50516328 61040563 75774492 122081126 151548984 183121689 244162252 366243378 488324504 549365067 732486756 1098730134 1464973512 2197460268 4394920536 6754454023 13508908046 20263362069 27017816092 40526724138 54035632184 60790086207 81053448276 121580172414 162106896552 195879166667 243160344828 391758333334 486320689656 587637500001 783516666668 1175275000002 1567033333336 1762912500003 2350550000004 3525825000006 4701100000008 7051650000012 14103300000024