Search a number
-
+
114240024234440 = 23513255313055399
BaseRepresentation
bin11001111110011010010100…
…000100000100100111001000
3112222111020110201011221102222
4121332122110010010213020
5104433202032201000230
61042545050450113212
733030366204044066
oct3176322404044710
9488436421157388
10114240024234440
1133444a164a3765
1210990594b7b808
134b98a324a5200
14202d364c3b036
15d319a28146e5
hex67e6941049c8

114240024234440 has 96 divisors (see below), whose sum is σ = 278383727016000. Its totient is φ = 42173291946240.

The previous prime is 114240024234439. The next prime is 114240024234467. The reversal of 114240024234440 is 44432420042411.

It is a super-2 number, since 2×1142400242344402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114240024234440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35861861 + ... + 38917259.

It is an arithmetic number, because the mean of its divisors is an integer number (2899830489750).

Almost surely, 2114240024234440 is an apocalyptic number.

114240024234440 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 114240024234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139191863508000).

114240024234440 is an abundant number, since it is smaller than the sum of its proper divisors (164143702781560).

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

114240024234440 is a wasteful number, since it uses less digits than its factorization.

114240024234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060967 (or 3060950 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 114240024234440 its reverse (44432420042411), we get a palindrome (158672444276851).

The spelling of 114240024234440 in words is "one hundred fourteen trillion, two hundred forty billion, twenty-four million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 5531 6760 11062 22124 27655 44248 55310 71903 110620 143806 221240 287612 359515 575224 719030 934739 1438060 1869478 2876120 3055399 3738956 4673695 6110798 7477912 9347390 12221596 15276995 18694780 24443192 30553990 37389560 39720187 61107980 79440374 122215960 158880748 198600935 317761496 397201870 516362431 794403740 1032724862 1588807480 2065449724 2581812155 4130899448 5163624310 10327248620 16899411869 20654497240 33798823738 67597647476 84497059345 135195294952 168994118690 219692354297 337988237380 439384708594 675976474760 878769417188 1098461771485 1757538834376 2196923542970 2856000605861 4393847085940 5712001211722 8787694171880 11424002423444 14280003029305 22848004846888 28560006058610 57120012117220 114240024234440