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244144262441442 = 2311215119911191283
BaseRepresentation
bin110111100000110001000100…
…000010010110100111100010
31012000102222000102111002222210
4313200301010002112213202
5224000024422141111232
62223130154212342550
7102265561264040646
oct6740610402264742
91160388012432883
10244144262441442
1170879000358500
1223470963614a56
13a62c92231304c
144440906bb8c26
151d35b44c9d5cc
hexde0c440969e2

244144262441442 has 96 divisors (see below), whose sum is σ = 542983193625600. Its totient is φ = 73123836588000.

The previous prime is 244144262441411. The next prime is 244144262441459.

244144262441442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 244144262441391 and 244144262441400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16219933 + ... + 27411215.

It is an arithmetic number, because the mean of its divisors is an integer number (5656074933600).

Almost surely, 2244144262441442 is an apocalyptic number.

244144262441442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244144262441442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271491596812800).

244144262441442 is an abundant number, since it is smaller than the sum of its proper divisors (298838931184158).

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

244144262441442 is a wasteful number, since it uses less digits than its factorization.

244144262441442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191660 (or 11191649 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 48.

The spelling of 244144262441442 in words is "two hundred forty-four trillion, one hundred forty-four billion, two hundred sixty-two million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 151 199 242 302 363 398 453 597 726 906 1194 1661 2189 3322 4378 4983 6567 9966 13134 18271 24079 30049 36542 48158 54813 60098 72237 90147 109626 144474 180294 330539 661078 991617 1983234 3635929 7271858 10907787 11191283 21815574 22382566 33573849 67147698 123104113 246208226 369312339 738624678 1354145243 1689883733 2227065317 2708290486 3379767466 4062435729 4454130634 5069651199 6681195951 8124871458 10139302398 13362391902 18588721063 24497718487 37177442126 48995436974 55766163189 73493155461 111532326378 146986310922 204475931693 269474903357 336286862867 408951863386 538949806714 613427795079 672573725734 808424710071 1008860588601 1226855590158 1616849420142 2017721177202 3699155491537 7398310983074 11097466474611 22194932949222 40690710406907 81381420813814 122072131220721 244144262441442