Search a number
-
+
14489910990 = 2345237091097
BaseRepresentation
bin11010111111010101…
…00111111011001110
31101101211022202010000
431133222213323032
5214133404122430
610353453025130
71022034132312
oct153752477316
941354282100
1014489910990
1161661a4655
1229847851a6
13149bc70a39
149b65a3b42
1559c156e60
hex35faa7ece

14489910990 has 160 divisors (see below), whose sum is σ = 40750205760. Its totient is φ = 3687399936.

The previous prime is 14489910961. The next prime is 14489910997. The reversal of 14489910990 is 9901998441.

14489910990 is a `hidden beast` number, since 1 + 448 + 9 + 9 + 109 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14489910997) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 13208122 + ... + 13209218.

It is an arithmetic number, because the mean of its divisors is an integer number (254688786).

Almost surely, 214489910990 is an apocalyptic number.

14489910990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14489910990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375102880).

14489910990 is an abundant number, since it is smaller than the sum of its proper divisors (26260294770).

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

14489910990 is a wasteful number, since it uses less digits than its factorization.

14489910990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 14489910990 in words is "fourteen billion, four hundred eighty-nine million, nine hundred ten thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 709 810 1035 1097 1242 1418 1863 2070 2127 2194 3105 3291 3545 3726 4254 5485 6210 6381 6582 7090 9315 9873 10635 10970 12762 16307 16455 18630 19143 19746 21270 25231 29619 31905 32614 32910 38286 48921 49365 50462 57429 59238 63810 75693 81535 88857 95715 97842 98730 114858 126155 146763 148095 151386 163070 177714 191430 227079 244605 252310 287145 293526 296190 378465 440289 444285 454158 489210 574290 681237 733815 756930 777773 880578 888570 1135395 1320867 1362474 1467630 1555546 2043711 2201445 2270790 2333319 2641734 3406185 3888865 4087422 4402890 4666638 6604335 6812370 6999957 7777730 10218555 11666595 13208670 13999914 17888779 20437110 20999871 23333190 34999785 35777558 41999742 53666337 62999613 69999570 89443895 104999355 107332674 125999226 160999011 178887790 209998710 268331685 314998065 321998022 482997033 536663370 629996130 804995055 965994066 1448991099 1609990110 2414985165 2897982198 4829970330 7244955495 14489910990