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442335512014340 = 225741199387245909
BaseRepresentation
bin110010010010011010100001…
…1000100001010111000000100
32011000011212021101002020201212
41210210311003010022320010
5430434211112033424330
64204434043503110552
7162112454225406230
oct14444650304127004
92130155241066655
10442335512014340
11118a3a48996182a
124173b703ba2458
1315ca80a14cc8c9
147b3321dc235c0
153621265ea5295
hex1924d4310ae04

442335512014340 has 96 divisors (see below), whose sum is σ = 1092962856384000. Its totient is φ = 147215404385280.

The previous prime is 442335512014171. The next prime is 442335512014369. The reversal of 442335512014340 is 43410215533244.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192480695 + ... + 194765214.

It is an arithmetic number, because the mean of its divisors is an integer number (11385029754000).

Almost surely, 2442335512014340 is an apocalyptic number.

It is an amenable number.

442335512014340 is an abundant number, since it is smaller than the sum of its proper divisors (650627344369660).

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

442335512014340 is a wasteful number, since it uses less digits than its factorization.

442335512014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387246165 (or 387246163 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 442335512014340 its reverse (43410215533244), we get a palindrome (485745727547584).

The spelling of 442335512014340 in words is "four hundred forty-two trillion, three hundred thirty-five billion, five hundred twelve million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 199 205 287 398 410 574 796 820 995 1148 1393 1435 1990 2786 2870 3980 5572 5740 6965 8159 13930 16318 27860 32636 40795 57113 81590 114226 163180 228452 285565 571130 1142260 387245909 774491818 1548983636 1936229545 2710721363 3872459090 5421442726 7744918180 10842885452 13553606815 15877082269 27107213630 31754164538 54214427260 63508329076 77061935891 79385411345 111139575883 154123871782 158770822690 222279151766 308247743564 317541645380 385309679455 444558303532 539433551237 555697879415 770619358910 1078867102474 1111395758830 1541238717820 2157734204948 2222791517660 2697167756185 3159539371531 5394335512370 6319078743062 10788671024740 12638157486124 15797696857655 22116775600717 31595393715310 44233551201434 63190787430620 88467102402868 110583878003585 221167756007170 442335512014340