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142320313440 = 2533532944517
BaseRepresentation
bin1000010010001011110…
…0111010010001100000
3111121100112210000102000
42010202330322101200
54312433000012230
6145214150124000
713165554463344
oct2044274722140
9447315700360
10142320313440
11553a3119a58
12236ba950600
13105614ca126
146c61867624
153a7e7a6b60
hex2122f3a460

142320313440 has 96 divisors (see below), whose sum is σ = 498121112160. Its totient is φ = 37952082432.

The previous prime is 142320313439. The next prime is 142320313459. The reversal of 142320313440 is 44313023241.

142320313440 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 203 + 13 + 440 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 16467939 + ... + 16476578.

It is an arithmetic number, because the mean of its divisors is an integer number (5188761585).

Almost surely, 2142320313440 is an apocalyptic number.

142320313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142320313440 is an abundant number, since it is smaller than the sum of its proper divisors (355800798720).

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

142320313440 is a wasteful number, since it uses less digits than its factorization.

142320313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32944541 (or 32944527 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 142320313440 its reverse (44313023241), we get a palindrome (186633336681).

The spelling of 142320313440 in words is "one hundred forty-two billion, three hundred twenty million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 32944517 65889034 98833551 131778068 164722585 197667102 263556136 296500653 329445170 395334204 494167755 527112272 593001306 658890340 790668408 889501959 988335510 1054224544 1186002612 1317780680 1482503265 1581336816 1779003918 1976671020 2372005224 2635561360 2965006530 3162673632 3558007836 3953342040 4447509795 4744010448 5271122720 5930013060 7116015672 7906684080 8895019590 9488020896 11860026120 14232031344 15813368160 17790039180 23720052240 28464062688 35580078360 47440104480 71160156720 142320313440