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14003214012424 = 23713131917838179
BaseRepresentation
bin1100101111000110000010…
…0110001101000000001000
31211120200202001122200221201
43023301200212031000020
53313412040241344144
645440553202313544
72643461461121140
oct313614046150010
954520661580851
1014003214012424
1145098032797aa
1216a1b000588b4
137a7660a8a750
14365a8b263920
151943c81681d4
hexcbc6098d008

14003214012424 has 128 divisors (see below), whose sum is σ = 32361702912000. Its totient is φ = 5531752030464.

The previous prime is 14003214012377. The next prime is 14003214012433. The reversal of 14003214012424 is 42421041230041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14003214012392 and 14003214012401.

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, 1712089567 + ... + 1712097745.

It is an arithmetic number, because the mean of its divisors is an integer number (252825804000).

Almost surely, 214003214012424 is an apocalyptic number.

14003214012424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003214012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180851456000).

14003214012424 is an abundant number, since it is smaller than the sum of its proper divisors (18358488899576).

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

14003214012424 is a wasteful number, since it uses less digits than its factorization.

14003214012424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307 (or 11303 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14003214012424 its reverse (42421041230041), we get a palindrome (56424255242465).

The spelling of 14003214012424 in words is "fourteen trillion, three billion, two hundred fourteen million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1319 1783 2638 3566 5276 7132 8179 9233 10552 12481 14264 16358 17147 18466 23179 24962 32716 34294 36932 46358 49924 57253 65432 68588 73864 92716 99848 106327 114506 120029 137176 162253 185432 212654 229012 240058 324506 425308 458024 480116 649012 744289 850616 960232 1298024 1488578 2351777 2977156 4703554 5954312 9407108 10788101 14583157 16462439 18814216 21576202 29166314 30573101 32924878 43152404 58332628 61146202 65849756 75516707 86304808 102082099 116665256 122292404 131699512 140245313 151033414 189581041 204164198 214011707 244584808 280490626 302066828 379162082 408328396 428023414 560981252 604133656 758324164 816656792 856046828 981717191 1121962504 1327067287 1516648328 1712093656 1963434382 2654134574 3926868764 5308269148 7853737528 10616538296 19235184083 38470368166 76940736332 134646288581 153881472664 250057393079 269292577162 500114786158 538585154324 1000229572316 1077170308648 1750401751553 2000459144632 3500803503106 7001607006212 14003214012424