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14681374707870 = 23351319721232121
BaseRepresentation
bin1101010110100100011000…
…0111111101000010011110
31220222112012020122110221000
43111221012013331002132
53411014423411122440
651120310323451130
73043460102662623
oct325510607750236
956875166573830
1014681374707870
114750377309672
121791422826aa6
138265a877a870
1438a821c9834a
151a6d69c85730
hexd5a461fd09e

14681374707870 has 128 divisors (see below), whose sum is σ = 42375918372480. Its totient is φ = 3595532129280.

The previous prime is 14681374707823. The next prime is 14681374707893. The reversal of 14681374707870 is 7870747318641.

14681374707870 is a `hidden beast` number, since 1 + 4 + 6 + 81 + 3 + 7 + 470 + 7 + 87 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14681374707798 and 14681374707807.

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 63 ways as a sum of consecutive naturals, for example, 9924591 + ... + 11307530.

It is an arithmetic number, because the mean of its divisors is an integer number (331061862285).

Almost surely, 214681374707870 is an apocalyptic number.

14681374707870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14681374707870 is an abundant number, since it is smaller than the sum of its proper divisors (27694543664610).

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

14681374707870 is a wasteful number, since it uses less digits than its factorization.

14681374707870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21232347 (or 21232341 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 14681374707870 in words is "fourteen trillion, six hundred eighty-one billion, three hundred seventy-four million, seven hundred seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 197 234 270 351 390 394 585 591 702 985 1170 1182 1755 1773 1970 2561 2955 3510 3546 5122 5319 5910 7683 8865 10638 12805 15366 17730 23049 25610 26595 38415 46098 53190 69147 76830 115245 138294 230490 345735 691470 21232121 42464242 63696363 106160605 127392726 191089089 212321210 276017573 318481815 382178178 552035146 573267267 636963630 828052719 955445445 1146534534 1380087865 1656105438 1910890890 2484158157 2760175730 2866336335 4140263595 4182727837 4968316314 5732672670 7452474471 8280527190 8365455674 12420790785 12548183511 14904948942 20913639185 24841581570 25096367022 37262372355 37644550533 41827278370 54375461881 62740917555 74524744710 75289101066 108750923762 112933651599 125481835110 163126385643 188222752665 225867303198 271877309405 326252771286 376445505330 489379156929 543754618810 564668257995 815631928215 978758313858 1129336515990 1468137470787 1631263856430 2446895784645 2936274941574 4893791569290 7340687353935 14681374707870