Search a number
-
+
10042043444433 = 3471113123851993
BaseRepresentation
bin1001001000100001100001…
…1011101010110011010001
31022120000021021101112010000
42102020120123222303101
52304012101110210213
633205130122000213
72054341124622120
oct222103033526321
938500237345100
1010042043444433
113221896802110
121162270046069
1357ac646866b0
1426a074c63ab7
1512633b01ec73
hex922186eacd1

10042043444433 has 80 divisors (see below), whose sum is σ = 20141306672256. Its totient is φ = 4815365448960.

The previous prime is 10042043444431. The next prime is 10042043444471. The reversal of 10042043444433 is 33444434024001.

10042043444433 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 204 + 3 + 4 + 4 + 443 + 3 = 666.

It is not a de Polignac number, because 10042043444433 - 21 = 10042043444431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042043444431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61844916 + ... + 62007077.

Almost surely, 210042043444433 is an apocalyptic number.

10042043444433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10042043444433 is an abundant number, since it is smaller than the sum of its proper divisors (10099263227823).

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

10042043444433 is a wasteful number, since it uses less digits than its factorization.

10042043444433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123852036 (or 123852027 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 10042043444433 its reverse (33444434024001), we get a palindrome (43486477468434).

The spelling of 10042043444433 in words is "ten trillion, forty-two billion, forty-three million, four hundred forty-four thousand, four hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 189 231 273 297 351 429 567 693 819 891 1001 1053 1287 2079 2457 3003 3861 6237 7371 9009 11583 27027 81081 123851993 371555979 866963951 1114667937 1362371923 1610075909 2600891853 3344003811 4087115769 4830227727 7802675559 9536603461 10032011433 11270531363 12261347307 14490683181 17710834999 23408026677 28609810383 33811594089 36784041921 43472049543 53132504997 70224080031 85829431149 101434782267 110352125763 123975844993 130416148629 159397514991 257488293447 304304346801 371927534979 478192544973 772464880341 912913040403 1115782604937 1434577634919 3347347814811 10042043444433