Search a number
-
+
140223130013421 = 327131732789354847
BaseRepresentation
bin11111111000100000111101…
…110110101000111011101101
3200101111012102000201122120100
4133320200331312220323231
5121334403432240412141
61214121341105341313
741351533611100410
oct3770407566507355
9611435360648510
10140223130013421
1140752328312914
1213888222637839
136031ca4a10640
14268ab9b261b77
1511327d33a30b6
hex7f883dda8eed

140223130013421 has 96 divisors (see below), whose sum is σ = 250817126676480. Its totient is φ = 73509738388992.

The previous prime is 140223130013389. The next prime is 140223130013429. The reversal of 140223130013421 is 124310031322041.

140223130013421 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 313 + 0 + 0 + 1 + 342 + 1 = 666.

It is not a de Polignac number, because 140223130013421 - 25 = 140223130013389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140223130013429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394987620 + ... + 395342466.

It is an arithmetic number, because the mean of its divisors is an integer number (2612678402880).

Almost surely, 2140223130013421 is an apocalyptic number.

It is an amenable number.

140223130013421 is a deficient number, since it is larger than the sum of its proper divisors (110593996663059).

140223130013421 is a wasteful number, since it uses less digits than its factorization.

140223130013421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357835 (or 357832 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140223130013421 its reverse (124310031322041), we get a palindrome (264533161335462).

The spelling of 140223130013421 in words is "one hundred forty trillion, two hundred twenty-three billion, one hundred thirty million, thirteen thousand, four hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 173 273 519 819 1211 1557 2249 2789 3633 6747 8367 10899 15743 19523 20241 25101 36257 47229 58569 108771 141687 175707 253799 326313 354847 482497 761397 1064541 1447491 2284191 2483929 3193623 3377479 4342473 4613011 6272461 7451787 10132437 13839033 18817383 22355361 30397311 32291077 41517099 43907227 56452149 61388531 96873231 131721681 184165593 290619693 395165043 429719717 552496779 798050903 989668283 1289159151 2394152709 2969004849 3867477453 5586356321 6927677981 7182458127 8907014547 12865687679 16759068963 20783033943 38597063037 50277206889 62349101829 90059813753 115791189111 171212612959 270179441259 513637838877 810538323777 1198488290713 1540913516631 2225763968467 3595464872139 6677291905401 10786394616417 15580347779269 20031875716203 46741043337807 140223130013421