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14120948490 = 23511591814007
BaseRepresentation
bin11010010011010110…
…01001001100001010
31100110010001111201020
431021223021030022
5212404430322430
610253112533310
71006634040015
oct151153111412
940403044636
1014120948490
115a969a8670
1228a10b1236
1314406a872c
1497d59c37c
15579a74b10
hex349ac930a

14120948490 has 128 divisors (see below), whose sum is σ = 37814999040. Its totient is φ = 3345811200.

The previous prime is 14120948489. The next prime is 14120948503. The reversal of 14120948490 is 9484902141.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3522067 + ... + 3526073.

It is an arithmetic number, because the mean of its divisors is an integer number (295429680).

Almost surely, 214120948490 is an apocalyptic number.

14120948490 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 14120948490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18907499520).

14120948490 is an abundant number, since it is smaller than the sum of its proper divisors (23694050550).

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

14120948490 is a wasteful number, since it uses less digits than its factorization.

14120948490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268.

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 14120948490 in words is "fourteen billion, one hundred twenty million, nine hundred forty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 181 295 330 354 362 543 590 649 885 905 1086 1298 1770 1810 1947 1991 2715 3245 3894 3982 4007 5430 5973 6490 8014 9735 9955 10679 11946 12021 19470 19910 20035 21358 24042 29865 32037 40070 44077 53395 59730 60105 64074 88154 106790 117469 120210 132231 160185 220385 234938 236413 264462 320370 352407 440770 472826 587345 661155 704814 709239 725267 1174690 1182065 1322310 1418478 1450534 1762035 2175801 2364130 2600543 3524070 3546195 3626335 4351602 5201086 7092390 7252670 7801629 7977937 10879005 13002715 15603258 15955874 21758010 23933811 26005430 39008145 39889685 42790753 47867622 78016290 79779370 85581506 119669055 128372259 213953765 239338110 256744518 427907530 470698283 641861295 941396566 1283722590 1412094849 2353491415 2824189698 4706982830 7060474245 14120948490