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13950103905 = 365191571283
BaseRepresentation
bin11001111110111110…
…11011000101100001
31100000012120201000000
430333133123011201
5212032211311110
610224131050213
71002460632603
oct147737330541
940005521000
1013950103905
115a095195a1
122853a40969
13141418bb6a
14964a09173
15569a791c0
hex33f7db161

13950103905 has 112 divisors (see below), whose sum is σ = 26608691520. Its totient is φ = 6998120064.

The previous prime is 13950103897. The next prime is 13950103907. The reversal of 13950103905 is 50930105931.

It is not a de Polignac number, because 13950103905 - 23 = 13950103897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13950103905.

It is not an unprimeable number, because it can be changed into a prime (13950103907) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10872394 + ... + 10873676.

Almost surely, 213950103905 is an apocalyptic number.

13950103905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13950103905 is a deficient number, since it is larger than the sum of its proper divisors (12658587615).

13950103905 is a wasteful number, since it uses less digits than its factorization.

13950103905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

It can be divided in two parts, 13950 and 103905, that added together give a triangular number (117855 = T485).

The spelling of 13950103905 in words is "thirteen billion, nine hundred fifty million, one hundred three thousand, nine hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 157 171 243 285 405 471 513 729 785 855 1215 1283 1413 1539 2355 2565 2983 3645 3849 4239 4617 6415 7065 7695 8949 11547 12717 13851 14915 19245 21195 23085 24377 26847 34641 38151 44745 57735 63585 69255 73131 80541 103923 114453 121885 134235 173205 190755 201431 219393 241623 311769 365655 402705 519615 572265 604293 658179 724869 935307 1007155 1096965 1208115 1558845 1812879 1974537 2174607 3021465 3290895 3624345 3827189 4676535 5438637 5923611 9064395 9872685 10873035 11481567 16315911 17770833 19135945 27193185 29618055 34444701 48947733 57407835 81579555 88854165 103334103 146843199 172223505 244738665 310002309 516670515 734215995 930006927 1550011545 2790020781 4650034635 13950103905