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442101101244 = 2231117237313219
BaseRepresentation
bin1100110111011110100…
…01110111001010111100
31120021010210012220112220
412123233101313022330
524220410340214434
6535033132525340
743640451233265
oct6335721671274
91507123186486
10442101101244
11160548600950
1271822920850
13328c7aa5a7a
141757d82596c
15b777ab3d49
hex66ef4772bc

442101101244 has 144 divisors (see below), whose sum is σ = 1227752238720. Its totient is φ = 122681226240.

The previous prime is 442101101201. The next prime is 442101101263.

442101101244 is nontrivially palindromic in base 10.

It is a congruent number.

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, 1254867 + ... + 1568085.

Almost surely, 2442101101244 is an apocalyptic number.

442101101244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442101101244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613876119360).

442101101244 is an abundant number, since it is smaller than the sum of its proper divisors (785651137476).

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

442101101244 is a wasteful number, since it uses less digits than its factorization.

442101101244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313308 (or 313289 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 442101 and 101244, that added together give a palindrome (543345).

The spelling of 442101101244 in words is "four hundred forty-two billion, one hundred one million, one hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 37 44 51 66 68 74 102 111 132 148 187 204 222 289 374 407 444 561 578 629 748 814 867 1122 1156 1221 1258 1628 1734 1887 2244 2442 2516 3179 3468 3774 4884 6358 6919 7548 9537 10693 12716 13838 19074 20757 21386 27676 32079 38148 41514 42772 64158 83028 117623 128316 235246 313219 352869 470492 626438 705738 939657 1252876 1411476 1879314 3445409 3758628 5324723 6890818 10336227 10649446 11589103 13781636 15974169 20672454 21298892 23178206 31948338 34767309 41344908 46356412 58571953 63896676 69534618 90520291 117143906 127480133 139069236 175715859 181040582 197014751 234287812 254960266 271560873 351431718 362081164 382440399 394029502 509920532 543121746 591044253 702863436 764880798 788059004 995723201 1086243492 1182088506 1529761596 1991446402 2167162261 2364177012 2987169603 3349250767 3982892804 4334324522 5974339206 6501486783 6698501534 8668649044 10047752301 11948678412 13002973566 13397003068 20095504602 26005947132 36841758437 40191009204 73683516874 110525275311 147367033748 221050550622 442101101244