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14985311358941 = 71121933183207
BaseRepresentation
bin1101101000010000101000…
…1010010000111111011101
31222001120201010002002201122
43122010022022100333131
53431004404201441231
651512053525020325
73104436661616150
oct332041212207735
958046633062648
1014985311358941
114858264661100
1218203065546a5
1384915504a7b1
1439b415b7dc97
151aec07d5477b
hexda10a290fdd

14985311358941 has 96 divisors (see below), whose sum is σ = 20511397724160. Its totient is φ = 10705317242400.

The previous prime is 14985311358931. The next prime is 14985311358947.

14985311358941 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14985311358941 - 234 = 14968131489757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14985311358947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180055160 + ... + 180138366.

It is an arithmetic number, because the mean of its divisors is an integer number (213660392960).

Almost surely, 214985311358941 is an apocalyptic number.

14985311358941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14985311358941 is a deficient number, since it is larger than the sum of its proper divisors (5526086365219).

14985311358941 is an equidigital number, since it uses as much as digits as its factorization.

14985311358941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83324 (or 83275 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 62.

The spelling of 14985311358941 in words is "fourteen trillion, nine hundred eighty-five billion, three hundred eleven million, three hundred fifty-eight thousand, nine hundred forty-one".

Divisors: 1 7 11 19 31 77 121 133 209 217 341 361 589 847 1463 2299 2387 2527 3751 3971 4123 6479 6859 11191 16093 26257 27797 43681 45353 48013 71269 75449 78337 83207 123101 212629 305767 498883 528143 582449 829939 861707 915277 1354111 1488403 1580933 2338919 2579417 5809573 6406939 9478777 10068047 11066531 16372433 17390263 18055919 25728109 28373587 30037727 49008923 70476329 121731841 180096763 191292893 198615109 210264089 312109457 330414997 343062461 539098153 570716813 931169537 1339050251 2184766199 2312904979 3634564967 3773687071 3995017691 5930079683 6277884943 6518186759 10242864907 17692221203 25441954769 41510557781 43945194601 69056734373 71700054349 112671513977 123845548421 194614433233 483397140611 788700597839 1362301032631 2140758765563 14985311358941