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14423215440 = 243583839863
BaseRepresentation
bin11010110111011000…
…01100110101010000
31101020011211021000110
431123230030311100
5214014320343230
610343111321320
71020264210534
oct153354146520
941204737013
1014423215440
116131590267
122966380240
13148b1bb30a
149ab7a1bc4
155963804b0
hex35bb0cd50

14423215440 has 160 divisors (see below), whose sum is σ = 45357096960. Its totient is φ = 3790924288.

The previous prime is 14423215427. The next prime is 14423215451. The reversal of 14423215440 is 4451232441.

14423215440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14423215398 and 14423215407.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16712449 + ... + 16713311.

It is an arithmetic number, because the mean of its divisors is an integer number (283481856).

Almost surely, 214423215440 is an apocalyptic number.

14423215440 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 14423215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678548480).

14423215440 is an abundant number, since it is smaller than the sum of its proper divisors (30933881520).

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

14423215440 is a wasteful number, since it uses less digits than its factorization.

14423215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14423215440 its reverse (4451232441), we get a palindrome (18874447881).

The spelling of 14423215440 in words is "fourteen billion, four hundred twenty-three million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 839 863 996 1245 1328 1660 1678 1726 1992 2490 2517 2589 3320 3356 3452 3984 4195 4315 4980 5034 5178 6640 6712 6904 8390 8630 9960 10068 10356 12585 12945 13424 13808 16780 17260 19920 20136 20712 25170 25890 33560 34520 40272 41424 50340 51780 67120 69040 69637 71629 100680 103560 139274 143258 201360 207120 208911 214887 278548 286516 348185 358145 417822 429774 557096 573032 696370 716290 724057 835644 859548 1044555 1074435 1114192 1146064 1392740 1432580 1448114 1671288 1719096 2089110 2148870 2172171 2785480 2865160 2896228 3342576 3438192 3620285 4178220 4297740 4344342 5570960 5730320 5792456 7240570 8356440 8595480 8688684 10860855 11584912 14481140 16712880 17190960 17377368 21721710 28962280 34754736 43443420 57924560 60096731 86886840 120193462 173773680 180290193 240386924 300483655 360580386 480773848 600967310 721160772 901450965 961547696 1201934620 1442321544 1802901930 2403869240 2884643088 3605803860 4807738480 7211607720 14423215440