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4244406044424 = 2337131943409361
BaseRepresentation
bin111101110000111010010…
…100001000011100001000
3120000202112221210011121120
4331300322110020130020
51024020020421410144
613005504143435240
7615435224052360
oct75607224103410
916022487704546
104244406044424
111397051619237
12586716bb5b20
1324a326c68430
14109604c3b9a0
1575617b45e19
hex3dc3a508708

4244406044424 has 64 divisors (see below), whose sum is σ = 13059710912640. Its totient is φ = 1119403791360.

The previous prime is 4244406044423. The next prime is 4244406044429.

4244406044424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42444060444242 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4244406044423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971702497 + ... + 971706864.

It is an arithmetic number, because the mean of its divisors is an integer number (204057983010).

Almost surely, 24244406044424 is an apocalyptic number.

It is an amenable number.

4244406044424 is an abundant number, since it is smaller than the sum of its proper divisors (8815304868216).

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

4244406044424 is a wasteful number, since it uses less digits than its factorization.

4244406044424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943409390 (or 1943409386 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 42.

The spelling of 4244406044424 in words is "four trillion, two hundred forty-four billion, four hundred six million, forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 1943409361 3886818722 5830228083 7773637444 11660456166 13603865527 15547274888 23320912332 25264321693 27207731054 40811596581 46641824664 50528643386 54415462108 75792965079 81623193162 101057286772 108830924216 151585930158 163246386324 176850251851 202114573544 303171860316 326492772648 353700503702 530550755553 606343720632 707401007404 1061101511106 1414802014808 2122203022212 4244406044424