Search a number
-
+
42143423334432 = 253731279865869
BaseRepresentation
bin10011001010100010001111…
…10001110000100000100000
312112012212112122002011000220
421211101013301300200200
521010434212333200212
6225344231005043040
711606522213553000
oct1145210761604040
9175185478064026
1042143423334432
1112478a1a882902
124887817256480
131a691529c69a4
14a59a770ba000
154d13a923238c
hex265447c70820

42143423334432 has 96 divisors (see below), whose sum is σ = 129010479696000. Its totient is φ = 12040978086144.

The previous prime is 42143423334377. The next prime is 42143423334437. The reversal of 42143423334432 is 23443332434124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42143423334437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639900007 + ... + 639965862.

It is an arithmetic number, because the mean of its divisors is an integer number (1343859163500).

Almost surely, 242143423334432 is an apocalyptic number.

42143423334432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42143423334432 is an abundant number, since it is smaller than the sum of its proper divisors (86867056361568).

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

42143423334432 is a wasteful number, since it uses less digits than its factorization.

42143423334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279865903 (or 1279865881 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 42.

Adding to 42143423334432 its reverse (23443332434124), we get a palindrome (65586755768556).

The spelling of 42143423334432 in words is "forty-two trillion, one hundred forty-three billion, four hundred twenty-three million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4704 5488 8232 10976 16464 32928 1279865869 2559731738 3839597607 5119463476 7679195214 8959061083 10238926952 15358390428 17918122166 20477853904 26877183249 30716780856 35836244332 40955707808 53754366498 61433561712 62713427581 71672488664 107508732996 122867123424 125426855162 143344977328 188140282743 215017465992 250853710324 286689954656 376280565486 430034931984 438993993067 501707420648 752561130972 860069863968 877987986134 1003414841296 1316981979201 1505122261944 1755975972268 2006829682592 2633963958402 3010244523888 3511951944536 5267927916804 6020489047776 7023903889072 10535855833608 14047807778144 21071711667216 42143423334432