Search a number
-
+
14419761821070 = 2355923364154547
BaseRepresentation
bin1101000111010101110011…
…0001111111010110001110
31220001111220222211211221020
43101311130301333112032
53342223133011233240
650400202551415010
73015536066066214
oct321653461772616
956044828754836
1014419761821070
11465a428697711
12174a791084466
13807a15805c28
1437bcc5036cb4
151a01576b60d0
hexd1d5cc7f58e

14419761821070 has 128 divisors (see below), whose sum is σ = 35400831598080. Its totient is φ = 3757931397120.

The previous prime is 14419761820943. The next prime is 14419761821089. The reversal of 14419761821070 is 7012816791441.

It is a happy number.

It is a congruent 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, 264327537 + ... + 264382083.

It is an arithmetic number, because the mean of its divisors is an integer number (276568996860).

Almost surely, 214419761821070 is an apocalyptic number.

14419761821070 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 14419761821070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700415799040).

14419761821070 is an abundant number, since it is smaller than the sum of its proper divisors (20981069777010).

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

14419761821070 is a wasteful number, since it uses less digits than its factorization.

14419761821070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55490.

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 14419761821070 in words is "fourteen trillion, four hundred nineteen billion, seven hundred sixty-one million, eight hundred twenty-one thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 233 295 354 466 590 641 699 885 1165 1282 1398 1770 1923 2330 3205 3495 3846 6410 6990 9615 13747 19230 27494 37819 41241 54547 68735 75638 82482 109094 113457 137470 149353 163641 189095 206205 226914 272735 298706 327282 378190 412410 448059 545470 567285 746765 818205 896118 1134570 1493530 1636410 2240295 3218273 4480590 6436546 8811827 9654819 12709451 16091365 17623654 19309638 25418902 26435481 32182730 34964627 38128353 44059135 48274095 52870962 63547255 69929254 76256706 88118270 96548190 104893881 127094510 132177405 174823135 190641765 209787762 264354810 349646270 381283530 524469405 749857609 1048938810 1499715218 2062912993 2249572827 3749288045 4125825986 4499145654 6188738979 7498576090 8146758091 10314564965 11247864135 12377477958 16293516182 20629129930 22495728270 24440274273 30943694895 40733790455 48880548546 61887389790 81467580910 122201371365 244402742730 480658727369 961317454738 1441976182107 2403293636845 2883952364214 4806587273690 7209880910535 14419761821070