Search a number
-
+
3442422406731 = 3711103316978501
BaseRepresentation
bin110010000110000000010…
…111010101111001001011
3110012002111100002012021020
4302012000113111321023
5422400040114003411
611153232123043523
7503464302444150
oct62060027257113
913162440065236
103442422406731
111107a17783150
124771b83705a3
131bc808053159
14bc88527a227
155e82a624606
hex321805d5e4b

3442422406731 has 64 divisors (see below), whose sum is σ = 5732057650176. Its totient is φ = 1785277440000.

The previous prime is 3442422406649. The next prime is 3442422406739. The reversal of 3442422406731 is 1376042242443.

It is not a de Polignac number, because 3442422406731 - 211 = 3442422404683 is a prime.

It is a super-2 number, since 2×34424224067312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3442422406739) 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 63 ways as a sum of consecutive naturals, for example, 404938981 + ... + 404947481.

It is an arithmetic number, because the mean of its divisors is an integer number (89563400784).

Almost surely, 23442422406731 is an apocalyptic number.

3442422406731 is a deficient number, since it is larger than the sum of its proper divisors (2289635243445).

3442422406731 is a wasteful number, since it uses less digits than its factorization.

3442422406731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252.

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 3442422406731 in words is "three trillion, four hundred forty-two billion, four hundred twenty-two million, four hundred six thousand, seven hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 1033 1697 3099 5091 7231 8501 11363 11879 18667 21693 25503 34089 35637 56001 59507 79541 93511 130669 178521 238623 280533 392007 654577 1753001 1963731 5259003 8781533 12271007 14426197 19283011 26344599 36813021 43278591 57849033 61470731 96596863 100983379 134981077 158688167 184412193 289790589 302950137 404943231 476064501 676178041 1110817169 2028534123 3332451507 14902261501 44706784503 104315830507 163924876511 312947491521 491774629533 1147474135577 3442422406731