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14514545136 = 2437134181047
BaseRepresentation
bin11011000010010001…
…00110000111110000
31101110112200021210210
431201020212013300
5214211210421021
610400133024120
71022453412060
oct154110460760
941415607723
1014514545136
11617909a653
122990a85040
1314a40b7560
149b99773a0
1559e3c0e76
hex3612261f0

14514545136 has 160 divisors (see below), whose sum is σ = 47274974208. Its totient is φ = 3734599680.

The previous prime is 14514545131. The next prime is 14514545137. The reversal of 14514545136 is 63154541541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 14514545094 and 14514545103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14514545131) 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, 138565 + ... + 219611.

Almost surely, 214514545136 is an apocalyptic number.

14514545136 is a gapful number since it is divisible by the number (16) 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 14514545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637487104).

14514545136 is an abundant number, since it is smaller than the sum of its proper divisors (32760429072).

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

14514545136 is a wasteful number, since it uses less digits than its factorization.

14514545136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81119 (or 81113 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The spelling of 14514545136 in words is "fourteen billion, five hundred fourteen million, five hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 246 273 287 312 328 336 364 492 533 546 574 624 656 728 861 984 1066 1092 1148 1456 1599 1722 1968 2132 2184 2296 3198 3444 3731 4264 4368 4592 6396 6888 7462 8528 11193 12792 13776 14924 22386 25584 29848 44772 59696 81047 89544 162094 179088 243141 324188 486282 567329 648376 972564 1053611 1134658 1296752 1701987 1945128 2107222 2269316 3160833 3322927 3403974 3890256 4214444 4538632 6321666 6645854 6807948 7375277 8428888 9077264 9968781 12643332 13291708 13615896 14750554 16857776 19937562 22125831 23260489 25286664 26583416 27231792 29501108 39875124 43198051 44251662 46520978 50573328 53166832 59002216 69781467 79750248 86396102 88503324 93041956 118004432 129594153 139562934 159500496 172792204 177006648 186083912 259188306 279125868 302386357 345584408 354013296 372167824 518376612 558251736 604772714 691168816 907159071 1036753224 1116503472 1209545428 1814318142 2073506448 2419090856 3628636284 4838181712 7257272568 14514545136