Search a number
-
+
7414730123424 = 2531347126410429
BaseRepresentation
bin110101111100110000001…
…0110101110100010100000
3222020211201021212010222220
41223321200112232202200
51432440331402422144
623434140251231040
71363460632102401
oct153714026564240
928224637763886
107414730123424
1123a9629942468
129b9036148480
1341a28a901120
141b8c3684b9a8
15ccd1a39d919
hex6be605ae8a0

7414730123424 has 96 divisors (see below), whose sum is σ = 21406847857920. Its totient is φ = 2232913800192.

The previous prime is 7414730123417. The next prime is 7414730123441. The reversal of 7414730123424 is 4243210374147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×74147301234242 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63146559 + ... + 63263870.

It is an arithmetic number, because the mean of its divisors is an integer number (222987998520).

Almost surely, 27414730123424 is an apocalyptic number.

It is an amenable number.

7414730123424 is an abundant number, since it is smaller than the sum of its proper divisors (13992117734496).

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

7414730123424 is a wasteful number, since it uses less digits than its factorization.

7414730123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126410502 (or 126410494 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 7414730123424 in words is "seven trillion, four hundred fourteen billion, seven hundred thirty million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 9776 14664 19552 29328 58656 126410429 252820858 379231287 505641716 758462574 1011283432 1516925148 1643335577 2022566864 3033850296 3286671154 4045133728 4930006731 5941290163 6067700592 6573342308 9860013462 11882580326 12135401184 13146684616 17823870489 19720026924 23765160652 26293369232 35647740978 39440053848 47530321304 52586738464 71295481956 77236772119 78880107696 95060642608 142590963912 154473544238 157760215392 190121285216 231710316357 285181927824 308947088476 463420632714 570363855648 617894176952 926841265428 1235788353904 1853682530856 2471576707808 3707365061712 7414730123424