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14120321424 = 24311433131987
BaseRepresentation
bin11010010011010001…
…10000000110010000
31100110001212122112120
431021220300012100
5212404300241144
610253051254240
71006625515566
oct151150600620
940401778476
1014120321424
115a9660a530
1228a0a4a380
1314405191a1
1497d477a36
1557999de19
hex349a30190

14120321424 has 160 divisors (see below), whose sum is σ = 40869717504. Its totient is φ = 4163927040.

The previous prime is 14120321401. The next prime is 14120321459. The reversal of 14120321424 is 42412302141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14120321394 and 14120321403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7105359 + ... + 7107345.

Almost surely, 214120321424 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 14120321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434858752).

14120321424 is an abundant number, since it is smaller than the sum of its proper divisors (26749396080).

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

14120321424 is a wasteful number, since it uses less digits than its factorization.

14120321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14120321424 its reverse (42412302141), we get a palindrome (56532623565).

The spelling of 14120321424 in words is "fourteen billion, one hundred twenty million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 313 344 473 516 528 626 688 939 946 1032 1252 1419 1878 1892 1987 2064 2504 2838 3443 3756 3784 3974 5008 5676 5961 6886 7512 7568 7948 10329 11352 11922 13459 13772 15024 15896 20658 21857 22704 23844 26918 27544 31792 40377 41316 43714 47688 53836 55088 65571 80754 82632 85441 87428 95376 107672 131142 148049 161508 165264 170882 174856 215344 256323 262284 296098 323016 341764 349712 444147 512646 524568 592196 621931 646032 683528 888294 939851 1025292 1049136 1184392 1243862 1367056 1776588 1865793 1879702 2050584 2368784 2487724 2819553 3553176 3731586 3759404 4101168 4975448 5639106 6841241 7106352 7463172 7518808 9950896 11278212 13682482 14926344 15037616 20523723 22556424 26743033 27364964 29852688 41047446 45112848 53486066 54729928 80229099 82094892 106972132 109459856 160458198 164189784 213944264 294173363 320916396 328379568 427888528 588346726 641832792 882520089 1176693452 1283665584 1765040178 2353386904 3530080356 4706773808 7060160712 14120321424