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14385513387140 = 2257231215274813
BaseRepresentation
bin1101000101010110001101…
…1010100101010010000100
31212221020112011101010211022
43101111203122211102010
53341143012411342030
650332340312530312
73013214301153500
oct321254332452204
955836464333738
1014385513387140
114646953306365
1217440133b0998
138047182077cc
1437a396689300
1519e300ae1de5
hexd15636a5484

14385513387140 has 108 divisors (see below), whose sum is σ = 36311929382988. Its totient is φ = 4773073253760.

The previous prime is 14385513387043. The next prime is 14385513387187. The reversal of 14385513387140 is 4178331558341.

It can be written as a sum of positive squares in 2 ways, for example, as 7126411777156 + 7259101609984 = 2669534^2 + 2694272^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6695627 + ... + 8579186.

It is an arithmetic number, because the mean of its divisors is an integer number (336221568361).

Almost surely, 214385513387140 is an apocalyptic number.

14385513387140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14385513387140 is an abundant number, since it is smaller than the sum of its proper divisors (21926415995848).

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

14385513387140 is a wasteful number, since it uses less digits than its factorization.

14385513387140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15274898 (or 15274858 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 14385513387140 in words is "fourteen trillion, three hundred eighty-five billion, five hundred thirteen million, three hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 961 980 1085 1519 1922 2170 3038 3844 4340 4805 6076 6727 7595 9610 13454 15190 19220 26908 30380 33635 47089 67270 94178 134540 188356 235445 470890 941780 15274813 30549626 61099252 76374065 106923691 152748130 213847382 305496260 427694764 473519203 534618455 748465837 947038406 1069236910 1496931674 1894076812 2138473820 2367596015 2993863348 3314634421 3742329185 4735192030 6629268842 7484658370 9470384060 13258537684 14679095293 14969316740 16573172105 23202440947 29358190586 33146344210 46404881894 58716381172 66292688420 73395476465 92809763788 102753667051 116012204735 146790952930 205507334102 232024409470 293581905860 411014668204 464048818940 513768335255 719275669357 1027536670510 1438551338714 2055073341020 2877102677428 3596378346785 7192756693570 14385513387140