Search a number
-
+
14891092018944 = 2831811031103903
BaseRepresentation
bin1101100010110001101001…
…0000000000011100000000
31221201120111210202201020120
43120230122100000130000
53422433424024101234
651400512341340240
73064563066501621
oct330543220003400
957646453681216
1014891092018944
114821305264469
121805bb0707680
138402bb03a93b
14396a38753a48
151ac541378049
hexd8b1a400700

14891092018944 has 144 divisors (see below), whose sum is σ = 39890019047424. Its totient is φ = 4931438284800.

The previous prime is 14891092018937. The next prime is 14891092018961. The reversal of 14891092018944 is 44981029019841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143265297 + ... + 143369199.

Almost surely, 214891092018944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14891092018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19945009523712).

14891092018944 is an abundant number, since it is smaller than the sum of its proper divisors (24998927028480).

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

14891092018944 is a wasteful number, since it uses less digits than its factorization.

14891092018944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105134 (or 105120 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

It can be divided in two parts, 1489109 and 2018944, that added together give a palindrome (3508053).

The spelling of 14891092018944 in words is "fourteen trillion, eight hundred ninety-one billion, ninety-two million, eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 543 724 768 1031 1086 1448 2062 2172 2896 3093 4124 4344 5792 6186 8248 8688 11584 12372 16496 17376 23168 24744 32992 34752 46336 49488 65984 69504 98976 103903 131968 139008 186611 197952 207806 263936 311709 373222 395904 415612 559833 623418 746444 791808 831224 1119666 1246836 1492888 1662448 2239332 2493672 2985776 3324896 4478664 4987344 5971552 6649792 8957328 9974688 11943104 13299584 17914656 18806443 19949376 23886208 26599168 35829312 37612886 39898752 47772416 56419329 71658624 75225772 79797504 107123993 112838658 143317248 150451544 214247986 225677316 300903088 321371979 428495972 451354632 601806176 642743958 856991944 902709264 1203612352 1285487916 1713983888 1805418528 2407224704 2570975832 3427967776 3610837056 4814449408 5141951664 6855935552 7221674112 10283903328 13711871104 14443348224 19389442733 20567806656 27423742208 38778885466 41135613312 58168328199 77557770932 82271226624 116336656398 155115541864 232673312796 310231083728 465346625592 620462167456 930693251184 1240924334912 1861386502368 2481848669824 3722773004736 4963697339648 7445546009472 14891092018944