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3444342000144 = 2431314571198609
BaseRepresentation
bin110010000111110010110…
…010000000101000010000
3110012021110010010122101120
4302013302302000220100
5422413003023001034
611154150414402240
7503563001640333
oct62076262005020
913167403118346
103444342000144
1111088122a1091
12477653200380
131bca52957046
14bc9c81a461a
155e8dde02c49
hex321f2c80a10

3444342000144 has 80 divisors (see below), whose sum is σ = 8985432603840. Its totient is φ = 1136855715840.

The previous prime is 3444342000101. The next prime is 3444342000163. The reversal of 3444342000144 is 4410002434443.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2274312 + ... + 3472920.

It is an arithmetic number, because the mean of its divisors is an integer number (112317907548).

Almost surely, 23444342000144 is an apocalyptic number.

It is an amenable number.

3444342000144 is an abundant number, since it is smaller than the sum of its proper divisors (5541090603696).

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

3444342000144 is a wasteful number, since it uses less digits than its factorization.

3444342000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199208 (or 1199202 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 3444342000144 its reverse (4410002434443), we get a palindrome (7854344434587).

The spelling of 3444342000144 in words is "three trillion, four hundred forty-four billion, three hundred forty-two million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 457 524 786 914 1048 1371 1572 1828 2096 2742 3144 3656 5484 6288 7312 10968 21936 59867 119734 179601 239468 359202 478936 718404 957872 1198609 1436808 2397218 2873616 3595827 4794436 7191654 9588872 14383308 19177744 28766616 57533232 157017779 314035558 471053337 547764313 628071116 942106674 1095528626 1256142232 1643292939 1884213348 2191057252 2512284464 3286585878 3768426696 4382114504 6573171756 7536853392 8764229008 13146343512 26292687024 71757125003 143514250006 215271375009 287028500012 430542750018 574057000024 861085500036 1148114000048 1722171000072 3444342000144