Search a number
-
+
140024324220 = 223511241470417
BaseRepresentation
bin1000001001101000011…
…0011010000001111100
3111101102112110200022020
42002122012122001330
54243232211333340
6144154251120140
713054635055254
oct2023206320174
9441375420266
10140024324220
1154425098300
1223179a43050
131028692a721
146ac4960964
153997e289d0
hex209a19a07c

140024324220 has 144 divisors (see below), whose sum is σ = 441462831264. Its totient is φ = 33117286400.

The previous prime is 140024324213. The next prime is 140024324243. The reversal of 140024324220 is 22423420041.

It is a super-2 number, since 2×1400243242202 (a number of 23 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, 62452 + ... + 532868.

It is an arithmetic number, because the mean of its divisors is an integer number (3065714106).

Almost surely, 2140024324220 is an apocalyptic number.

140024324220 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 140024324220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220731415632).

140024324220 is an abundant number, since it is smaller than the sum of its proper divisors (301438507044).

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

140024324220 is a wasteful number, since it uses less digits than its factorization.

140024324220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470492 (or 470479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 140024324220 its reverse (22423420041), we get a palindrome (162447744261).

The spelling of 140024324220 in words is "one hundred forty billion, twenty-four million, three hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 121 123 132 164 165 205 220 242 246 330 363 410 451 484 492 605 615 660 726 820 902 1210 1230 1353 1452 1804 1815 2255 2420 2460 2706 3630 4510 4961 5412 6765 7260 9020 9922 13530 14883 19844 24805 27060 29766 49610 59532 74415 99220 148830 297660 470417 940834 1411251 1881668 2352085 2822502 4704170 5174587 5645004 7056255 9408340 10349174 14112510 15523761 19287097 20698348 25872935 28225020 31047522 38574194 51745870 56920457 57861291 62095044 77148388 77618805 96435485 103491740 113840914 115722582 155237610 170761371 192870970 212158067 227681828 231445164 284602285 289306455 310475220 341522742 385741940 424316134 569204570 578612910 636474201 683045484 848632268 853806855 1060790335 1138409140 1157225820 1272948402 1707613710 2121580670 2333738737 2545896804 3182371005 3415227420 4243161340 4667477474 6364742010 7001216211 9334954948 11668693685 12729484020 14002432422 23337387370 28004864844 35006081055 46674774740 70012162110 140024324220