Search a number
-
+
14253004620 = 223557937123
BaseRepresentation
bin11010100011000101…
…11001011101001100
31100210022112122200000
431101202321131030
5213142232121440
610314151204300
71013126353221
oct152142713514
940708478600
1014253004620
1160544a4368
122919376690
131461b6405a
14992d35948
1558645c730
hex3518b974c

14253004620 has 144 divisors (see below), whose sum is σ = 45404136960. Its totient is φ = 3752588736.

The previous prime is 14253004607. The next prime is 14253004621. The reversal of 14253004620 is 2640035241.

14253004620 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 30 + 0 + 4 + 620 = 666.

14253004620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×142530046203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14253004621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365379 + ... + 402501.

Almost surely, 214253004620 is an apocalyptic number.

14253004620 is a gapful number since it is divisible by the number (10) 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 14253004620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702068480).

14253004620 is an abundant number, since it is smaller than the sum of its proper divisors (31151132340).

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

14253004620 is a wasteful number, since it uses less digits than its factorization.

14253004620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37226 (or 37212 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14253004620 its reverse (2640035241), we get a palindrome (16893039861).

The spelling of 14253004620 in words is "fourteen billion, two hundred fifty-three million, four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 243 270 316 324 395 405 474 486 540 711 790 810 948 972 1185 1215 1422 1580 1620 2133 2370 2430 2844 3555 4266 4740 4860 6399 7110 8532 10665 12798 14220 19197 21330 25596 31995 37123 38394 42660 63990 74246 76788 95985 111369 127980 148492 185615 191970 222738 334107 371230 383940 445476 556845 668214 742460 1002321 1113690 1336428 1670535 2004642 2227380 2932717 3006963 3341070 4009284 5011605 5865434 6013926 6682140 8798151 9020889 10023210 11730868 12027852 14663585 15034815 17596302 18041778 20046420 26394453 29327170 30069630 35192604 36083556 43990755 45104445 52788906 58654340 60139260 79183359 87981510 90208890 105577812 131972265 158366718 175963020 180417780 237550077 263944530 316733436 395916795 475100154 527889060 712650231 791833590 950200308 1187750385 1425300462 1583667180 2375500770 2850600924 3563251155 4751001540 7126502310 14253004620