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14322454000 = 245373263373
BaseRepresentation
bin11010101011010111…
…10100110111110000
31100222011020001022021
431111223310313300
5213313022012000
610325111521224
71014631564441
oct152553646760
940864201267
1014322454000
11608a719748
122938689214
13147336c06a
1499c2532c8
1558c5ca11a
hex355af4df0

14322454000 has 160 divisors (see below), whose sum is σ = 35334059904. Its totient is φ = 5613926400.

The previous prime is 14322453983. The next prime is 14322454009. The reversal of 14322454000 is 45422341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322454009) 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, 38397814 + ... + 38398186.

Almost surely, 214322454000 is an apocalyptic number.

14322454000 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 14322454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17667029952).

14322454000 is an abundant number, since it is smaller than the sum of its proper divisors (21011605904).

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

14322454000 is a wasteful number, since it uses less digits than its factorization.

14322454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14322454000 its reverse (45422341), we get a palindrome (14367876341).

The spelling of 14322454000 in words is "fourteen billion, three hundred twenty-two million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 263 292 365 373 400 500 526 584 730 746 1000 1052 1168 1315 1460 1492 1825 1865 2000 2104 2630 2920 2984 3650 3730 4208 5260 5840 5968 6575 7300 7460 9125 9325 10520 13150 14600 14920 18250 18650 19199 21040 26300 27229 29200 29840 32875 36500 37300 38398 46625 52600 54458 65750 73000 74600 76796 93250 95995 98099 105200 108916 131500 136145 146000 149200 153592 186500 191990 196198 217832 263000 272290 307184 373000 383980 392396 435664 479975 490495 526000 544580 680725 746000 767960 784792 959950 980990 1089160 1361450 1535920 1569584 1919900 1961980 2178320 2399875 2452475 2722900 3403625 3839800 3923960 4799750 4904950 5445800 6807250 7161227 7679600 7847920 9599500 9809900 10891600 12262375 13614500 14322454 19199000 19619800 24524750 27229000 28644908 35806135 38398000 39239600 49049500 54458000 57289816 71612270 98099000 114579632 143224540 179030675 196198000 286449080 358061350 572898160 716122700 895153375 1432245400 1790306750 2864490800 3580613500 7161227000 14322454000