Search a number
-
+
24233142204144 = 2432433913621157
BaseRepresentation
bin1011000001010001101111…
…10101010011011011110000
310011210122222100100022012200
411200220313311103123300
511134013433401013034
6123312315110423200
75050533566043636
oct540506765233360
9104718870308180
1024233142204144
1177a3244021365
122874666361b00
13106a238777603
145dac67149356
152c055dbc2a99
hex160a37d536f0

24233142204144 has 60 divisors (see below), whose sum is σ = 69396330373656. Its totient is φ = 7889860250496.

The previous prime is 24233142204133. The next prime is 24233142204157. The reversal of 24233142204144 is 44140224133242.

24233142204144 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 14 + 220 + 414 + 4 = 666.

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 = 24233142204099 and 24233142204108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1956804387 + ... + 1956816770.

Almost surely, 224233142204144 is an apocalyptic number.

24233142204144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24233142204144 is an abundant number, since it is smaller than the sum of its proper divisors (45163188169512).

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

24233142204144 is a wasteful number, since it uses less digits than its factorization.

24233142204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913621214 (or 3913621205 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 24233142204144 its reverse (44140224133242), we get a palindrome (68373366337386).

The spelling of 24233142204144 in words is "twenty-four trillion, two hundred thirty-three billion, one hundred forty-two million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 3913621157 7827242314 11740863471 15654484628 23481726942 31308969256 35222590413 46963453884 62617938512 70445180826 93926907768 140890361652 168285709751 187853815536 281780723304 336571419502 504857129253 563561446608 673142839004 1009714258506 1346285678008 1514571387759 2019428517012 2692571356016 3029142775518 4038857034024 6058285551036 8077714068048 12116571102072 24233142204144