Search a number
-
+
121140244234440 = 23325531863632683
BaseRepresentation
bin11011100010110100101001…
…001110011100000011001000
3120212220220010220110201211200
4123202310221032130003020
5111334230210011000230
61105351020540024200
734342044116232234
oct3342645116340310
9525826126421750
10121140244234440
113566531a829192
121170595a832060
135279625a5b802
1421cb30d31d5c4
15e01208284160
hex6e2d2939c0c8

121140244234440 has 96 divisors (see below), whose sum is σ = 393707156281920. Its totient is φ = 32303953332864.

The previous prime is 121140244234433. The next prime is 121140244234463. The reversal of 121140244234440 is 44432442041121.

121140244234440 is a `hidden beast` number, since 1 + 2 + 1 + 140 + 2 + 4 + 42 + 34 + 440 = 666.

It is a super-3 number, since 3×1211402442344403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121140244234395 and 121140244234404.

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, 191154339 + ... + 191787021.

It is an arithmetic number, because the mean of its divisors is an integer number (4101116211270).

Almost surely, 2121140244234440 is an apocalyptic number.

121140244234440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121140244234440 is an abundant number, since it is smaller than the sum of its proper divisors (272566912047480).

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

121140244234440 is a wasteful number, since it uses less digits than its factorization.

121140244234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164563 (or 1164556 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 121140244234440 its reverse (44432442041121), we get a palindrome (165572686275561).

The spelling of 121140244234440 in words is "one hundred twenty-one trillion, one hundred forty billion, two hundred forty-four million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 531863 632683 1063726 1265366 1595589 1898049 2127452 2530732 2659315 3163415 3191178 3796098 4254904 4786767 5061464 5318630 5694147 6326830 6382356 7592196 7977945 9490245 9573534 10637260 11388294 12653660 12764712 15184392 15955890 18980490 19147068 21274520 22776588 23933835 25307320 28470735 31911780 37960980 38294136 45553176 47867670 56941470 63823560 75921960 95735340 113882940 191470680 227765880 336500678429 673001356858 1009502035287 1346002713716 1682503392145 2019004070574 2692005427432 3028506105861 3365006784290 4038008141148 5047510176435 6057012211722 6730013568580 8076016282296 10095020352870 12114024423444 13460027137160 15142530529305 20190040705740 24228048846888 30285061058610 40380081411480 60570122117220 121140244234440