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14217448487004 = 22327631641139487
BaseRepresentation
bin1100111011100100000111…
…1101110111100001011100
31212100011201102121121200100
43032321001331313201130
53330414313303041004
650123223342501100
72665114425114060
oct316710175674134
955304642547610
1014217448487004
11459164a028384
12171752a894790
137c1913153639
143721b1a15aa0
15199c660d9739
hexcee41f7785c

14217448487004 has 144 divisors (see below), whose sum is σ = 41202193084416. Its totient is φ = 4049334374400.

The previous prime is 14217448486973. The next prime is 14217448487051. The reversal of 14217448487004 is 40078484471241.

14217448487004 is a `hidden beast` number, since 1 + 4 + 21 + 74 + 484 + 8 + 70 + 0 + 4 = 666.

It is a super-2 number, since 2×142174484870042 (a number of 27 digits) contains 22 as substring.

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, 101856949 + ... + 101996435.

It is an arithmetic number, because the mean of its divisors is an integer number (286126340864).

Almost surely, 214217448487004 is an apocalyptic number.

14217448487004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14217448487004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20601096542208).

14217448487004 is an abundant number, since it is smaller than the sum of its proper divisors (26984744597412).

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

14217448487004 is a wasteful number, since it uses less digits than its factorization.

14217448487004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140776 (or 140771 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 14217448487004 in words is "fourteen trillion, two hundred seventeen billion, four hundred forty-eight million, four hundred eighty-seven thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 631 641 1262 1282 1893 1923 2524 2564 3786 3846 4417 4487 5679 5769 7572 7692 8834 8974 11358 11538 13251 13461 17668 17948 22716 23076 26502 26922 39753 40383 53004 53844 79506 80766 139487 159012 161532 278974 404471 418461 557948 808942 836922 976409 1213413 1255383 1617884 1673844 1952818 2426826 2510766 2831297 2929227 3640239 3905636 4853652 5021532 5662594 5858454 7280478 8493891 8787681 11325188 11716908 14560956 16987782 17575362 25481673 33975564 35150724 50963346 88016297 89411167 101926692 176032594 178822334 264048891 268233501 352065188 357644668 528097782 536467002 616114079 625878169 792146673 804700503 1056195564 1072934004 1232228158 1251756338 1584293346 1609401006 1848342237 1877634507 2464456316 2503512676 3168586692 3218802012 3696684474 3755269014 5545026711 5632903521 7393368948 7510538028 11090053422 11265807042 22180106844 22531614084 56418446377 112836892754 169255339131 225673785508 338510678262 394929124639 507766017393 677021356524 789858249278 1015532034786 1184787373917 1579716498556 2031064069572 2369574747834 3554362121751 4739149495668 7108724243502 14217448487004