Search a number
-
+
140224201232214 = 231121671674769061
BaseRepresentation
bin11111111000100001111101…
…101101000000111101010110
3200101111022011200102012111110
4133320201331231000331112
5121334413131003412324
61214122035253315450
741351602266232311
oct3770417555007526
9611438150365443
10140224201232214
1140752827a5a400
1213888481335b86
136032115925008
14268ac5d62b978
151132847451329
hex7f887db40f56

140224201232214 has 96 divisors (see below), whose sum is σ = 310130352016128. Its totient is φ = 42234604315200.

The previous prime is 140224201232161. The next prime is 140224201232249. The reversal of 140224201232214 is 412232102422041.

It is a super-2 number, since 2×1402242012322142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030405244 + ... + 2030474304.

It is an arithmetic number, because the mean of its divisors is an integer number (3230524500168).

Almost surely, 2140224201232214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140224201232214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155065176008064).

140224201232214 is an abundant number, since it is smaller than the sum of its proper divisors (169906150783914).

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

140224201232214 is a wasteful number, since it uses less digits than its factorization.

140224201232214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86002 (or 85991 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 140224201232214 its reverse (412232102422041), we get a palindrome (552456303654255).

The spelling of 140224201232214 in words is "one hundred forty trillion, two hundred twenty-four billion, two hundred one million, two hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 167 242 334 363 501 726 1002 1837 3674 5511 11022 16747 20207 33494 40414 50241 60621 69061 100482 121242 138122 184217 207183 368434 414366 552651 759671 1105302 1519342 2026387 2279013 2796749 4052774 4558026 5593498 6079161 8356381 8390247 11533187 12158322 16712762 16780494 23066374 25069143 30764239 34599561 50138286 61528478 69199122 92292717 126865057 184585434 253730114 338406629 380595171 676813258 761190342 1015219887 1156564567 1395515627 2030439774 2313129134 2791031254 3469693701 4186546881 6939387402 8373093762 12722210237 25444420474 38166630711 76333261422 139944312607 193146282689 279888625214 386292565378 419832937821 579438848067 839665875642 1158877696134 2124609109579 4249218219158 6373827328737 12747654657474 23370700205369 46741400410738 70112100616107 140224201232214