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241432412243440 = 24511846593240707
BaseRepresentation
bin110110111001010011011101…
…001010110100010111110000
31011122211201020220220102122111
4312321103131022310113300
5223121112040013242230
62213252304035215104
7101565626146506055
oct6671233512642760
91148751226812574
10241432412243440
116aa22a02643960
12230b3276447494
13a493c95509c82
14438956927d02c
151cda3276d892a
hexdb94dd2b45f0

241432412243440 has 80 divisors (see below), whose sum is σ = 612367813272960. Its totient is φ = 87792540335360.

The previous prime is 241432412243431. The next prime is 241432412243461. The reversal of 241432412243440 is 44342214234142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 241432412243393 and 241432412243402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72879567 + ... + 76120273.

It is an arithmetic number, because the mean of its divisors is an integer number (7654597665912).

Almost surely, 2241432412243440 is an apocalyptic number.

241432412243440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241432412243440 is an abundant number, since it is smaller than the sum of its proper divisors (370935401029520).

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

241432412243440 is a wasteful number, since it uses less digits than its factorization.

241432412243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325390 (or 3325384 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 241432412243440 its reverse (44342214234142), we get a palindrome (285774626477582).

The spelling of 241432412243440 in words is "two hundred forty-one trillion, four hundred thirty-two billion, four hundred twelve million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 84659 169318 338636 423295 677272 846590 931249 1354544 1693180 1862498 3240707 3386360 3724996 4656245 6481414 6772720 7449992 9312490 12962828 14899984 16203535 18624980 25925656 32407070 35647777 37249960 51851312 64814140 71295554 74499920 129628280 142591108 178238885 259256560 285182216 356477770 570364432 712955540 1425911080 2851822160 274355013913 548710027826 1097420055652 1371775069565 2194840111304 2743550139130 3017905153043 4389680222608 5487100278260 6035810306086 10974200556520 12071620612172 15089525765215 21948401113040 24143241224344 30179051530430 48286482448688 60358103060860 120716206121720 241432412243440