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14490058905 = 3257312151317
BaseRepresentation
bin11010111111010110…
…01100000010011001
31101101211121021000100
431133223030002121
5214133423341110
610353500130013
71022035316460
oct153753140231
941354537010
1014490058905
1161662957a3
122984836909
13149bcc316a
149b66019d7
1559c185bc0
hex35facc099

14490058905 has 144 divisors (see below), whose sum is σ = 29950532352. Its totient is φ = 6347808000.

The previous prime is 14490058871. The next prime is 14490058931. The reversal of 14490058905 is 50985009441.

It is not a de Polignac number, because 14490058905 - 215 = 14490026137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45709807 + ... + 45710123.

It is an arithmetic number, because the mean of its divisors is an integer number (207989808).

Almost surely, 214490058905 is an apocalyptic number.

14490058905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14490058905 is an abundant number, since it is smaller than the sum of its proper divisors (15460473447).

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

14490058905 is a wasteful number, since it uses less digits than its factorization.

14490058905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 14490058905 in words is "fourteen billion, four hundred ninety million, fifty-eight thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 151 155 217 279 315 317 453 465 651 755 951 961 1057 1085 1359 1395 1585 1953 2219 2265 2853 2883 3171 3255 4681 4755 4805 5285 6657 6727 6795 8649 9513 9765 9827 11095 14043 14265 14415 15855 19971 20181 23405 29481 32767 33285 33635 42129 43245 47565 47867 49135 60543 68789 70215 88443 98301 99855 100905 143601 145111 147405 163835 206367 210645 239335 294903 302715 304637 335069 343945 430803 435333 442215 491505 619101 718005 725555 913911 1005207 1015777 1031835 1305999 1474515 1483877 1523185 1675345 2132459 2154015 2176665 2741733 3015621 3047331 3095505 4451631 4569555 5026035 5078885 6397377 6529995 7419385 9141993 10387139 10662295 13354893 13708665 15078105 15236655 19192131 22258155 31161417 31986885 45709965 46000187 51935695 66774465 93484251 95960655 138000561 155807085 230000935 322001309 414001683 467421255 690002805 966003927 1610006545 2070008415 2898011781 4830019635 14490058905