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14464205466660 = 2234565313673081
BaseRepresentation
bin1101001001111011010111…
…0101000010110000100100
31220012202122100101222020000
43102132311311002300210
53343440143044413120
650432433025141300
73022001331616035
oct322366565026044
956182570358200
1014464205466660
1146772649a5424
12175731518a830
1380bc79390481
143800dd840a8c
151a13a9358990
hexd27b5d42c24

14464205466660 has 120 divisors (see below), whose sum is σ = 45444238181496. Its totient is φ = 3851214405120.

The previous prime is 14464205466653. The next prime is 14464205466709. The reversal of 14464205466660 is 6666450246441.

It can be written as a sum of positive squares in 4 ways, for example, as 572543435556 + 13891662031104 = 756666^2 + 3727152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14464205466597 and 14464205466606.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5778681 + ... + 7894400.

Almost surely, 214464205466660 is an apocalyptic number.

14464205466660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14464205466660 is an abundant number, since it is smaller than the sum of its proper divisors (30980032714836).

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

14464205466660 is a wasteful number, since it uses less digits than its factorization.

14464205466660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13673755 (or 13673744 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 14464205466660 in words is "fourteen trillion, four hundred sixty-four billion, two hundred five million, four hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 653 810 1306 1620 1959 2612 3265 3918 5877 6530 7836 9795 11754 13060 17631 19590 23508 29385 35262 39180 52893 58770 70524 88155 105786 117540 176310 211572 264465 352620 528930 1057860 13673081 27346162 41019243 54692324 68365405 82038486 123057729 136730810 164076972 205096215 246115458 273461620 369173187 410192430 492230916 615288645 738346374 820384860 1107519561 1230577290 1476692748 1845865935 2215039122 2461154580 3691731870 4430078244 5537597805 7383463740 8928521893 11075195610 17857043786 22150391220 26785565679 35714087572 44642609465 53571131358 80356697037 89285218930 107142262716 133927828395 160713394074 178570437860 241070091111 267855656790 321426788148 401783485185 482140182222 535711313580 723210273333 803566970370 964280364444 1205350455555 1446420546666 1607133940740 2410700911110 2892841093332 3616051366665 4821401822220 7232102733330 14464205466660