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14001130240110 = 23251319362004031
BaseRepresentation
bin1100101110111110010001…
…1001001111100001101110
31211120111100211200002201100
43023233210121033201232
53313343303320140420
645440010324023530
72643356026262166
oct313574431174156
954514324602640
1014001130240110
114508934014822
1216a161a231ba6
137a73bb161c90
143659305dd5a6
15194305259190
hexcbbe464f86e

14001130240110 has 96 divisors (see below), whose sum is σ = 39406290513408. Its totient is φ = 3428574842880.

The previous prime is 14001130240061. The next prime is 14001130240121. The reversal of 14001130240110 is 1104203110041.

14001130240110 is a `hidden beast` number, since 1 + 400 + 1 + 13 + 0 + 240 + 1 + 10 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30776206 + ... + 31227825.

It is an arithmetic number, because the mean of its divisors is an integer number (410482192848).

Almost surely, 214001130240110 is an apocalyptic number.

14001130240110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14001130240110 is an abundant number, since it is smaller than the sum of its proper divisors (25405160273298).

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

14001130240110 is a wasteful number, since it uses less digits than its factorization.

14001130240110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62004250 (or 62004247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14001130240110 its reverse (1104203110041), we get a palindrome (15105333350151).

The spelling of 14001130240110 in words is "fourteen trillion, one billion, one hundred thirty million, two hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 193 195 234 386 390 579 585 965 1158 1170 1737 1930 2509 2895 3474 5018 5790 7527 8685 12545 15054 17370 22581 25090 37635 45162 75270 112905 225810 62004031 124008062 186012093 310020155 372024186 558036279 620040310 806052403 930060465 1116072558 1612104806 1860120930 2418157209 2790181395 4030262015 4836314418 5580362790 7254471627 8060524030 11966777983 12090786045 14508943254 23933555966 24181572090 35900333949 36272358135 59833889915 71800667898 72544716270 107701001847 119667779830 155568113779 179501669745 215402003694 311136227558 359003339490 466704341337 538505009235 777840568895 933408682674 1077010018470 1400113024011 1555681137790 2333521706685 2800226048022 4667043413370 7000565120055 14001130240110