Search a number
-
+
14553455384 = 23131937672971
BaseRepresentation
bin11011000110111010…
…00001101100011000
31101120020220010122002
431203131001230120
5214301141033014
610404043020132
71023435221036
oct154335015430
941506803562
1014553455384
116199056486
1229a1b0a648
1314ac18c080
149c0bc5556
155a2a09dde
hex363741b18

14553455384 has 128 divisors (see below), whose sum is σ = 32254521600. Its totient is φ = 6097006080.

The previous prime is 14553455383. The next prime is 14553455417. The reversal of 14553455384 is 48355435541.

It is a super-2 number, since 2×145534553842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14553455383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4897019 + ... + 4899989.

It is an arithmetic number, because the mean of its divisors is an integer number (251988450).

Almost surely, 214553455384 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 14553455384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16127260800).

14553455384 is an abundant number, since it is smaller than the sum of its proper divisors (17701066216).

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

14553455384 is a wasteful number, since it uses less digits than its factorization.

14553455384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3109 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 47.

The spelling of 14553455384 in words is "fourteen billion, five hundred fifty-three million, four hundred fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 19 26 37 38 52 67 74 76 104 134 148 152 247 268 296 481 494 536 703 871 962 988 1273 1406 1742 1924 1976 2479 2546 2812 2971 3484 3848 4958 5092 5624 5942 6968 9139 9916 10184 11884 16549 18278 19832 23768 32227 33098 36556 38623 47101 56449 64454 66196 73112 77246 94202 109927 112898 128908 132392 154492 188404 199057 219854 225796 257816 308984 376808 398114 439708 451592 612313 733837 796228 879416 1224626 1429051 1467674 1592456 2088613 2449252 2587741 2858102 2935348 3782083 4177226 4898504 5175482 5716204 5870696 7365109 7564166 8354452 10350964 11432408 14730218 15128332 16708904 20701928 27151969 29460436 30256664 49167079 54303938 58920872 95746417 98334158 108607876 139937071 191492834 196668316 217215752 279874142 382985668 393336632 559748284 765971336 1119496568 1819181923 3638363846 7276727692 14553455384