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442272700140912 = 24324378790757903
BaseRepresentation
bin110010010001111101010001…
…1001011111000110101110000
32010222221212010220110110210100
41210203322203023320311300
5430432143442214002122
64204345135030432400
7162105101543321634
oct14443724313706560
92128855126413710
10442272700140912
11118a15887227633
124172b4b4502700
1315ca21a1348cb4
147b30181b38dc4
15361e7db96eaac
hex1923ea32f8d70

442272700140912 has 120 divisors (see below), whose sum is σ = 1268143493137664. Its totient is φ = 143812793319552.

The previous prime is 442272700140893. The next prime is 442272700140917. The reversal of 442272700140912 is 219041007272244.

442272700140912 is a `hidden beast` number, since 4 + 4 + 227 + 2 + 7 + 0 + 0 + 1 + 409 + 12 = 666.

It is a super-2 number, since 2×4422727001409122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442272700140917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40505848 + ... + 50252055.

Almost surely, 2442272700140912 is an apocalyptic number.

It is an amenable number.

442272700140912 is an abundant number, since it is smaller than the sum of its proper divisors (825870792996752).

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

442272700140912 is a wasteful number, since it uses less digits than its factorization.

442272700140912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90758747 (or 90758738 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 442272700140912 in words is "four hundred forty-two trillion, two hundred seventy-two billion, seven hundred million, one hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 787 1032 1548 1574 2064 2361 3096 3148 4722 6192 6296 7083 9444 12592 14166 18888 28332 33841 37776 56664 67682 101523 113328 135364 203046 270728 304569 406092 541456 609138 812184 1218276 1624368 2436552 4873104 90757903 181515806 272273709 363031612 544547418 726063224 816821127 1089094836 1452126448 1633642254 2178189672 3267284508 3902589829 4356379344 6534569016 7805179658 11707769487 13069138032 15610359316 23415538974 31220718632 35123308461 46831077948 62441437264 70246616922 71426469661 93662155896 140493233844 142852939322 187324311792 214279408983 280986467688 285705878644 428558817966 561972935376 571411757288 642838226949 857117635932 1142823514576 1285676453898 1714235271864 2571352907796 3071338195423 3428470543728 5142705815592 6142676390846 9214014586269 10285411631184 12285352781692 18428029172538 24570705563384 27642043758807 36856058345076 49141411126768 55284087517614 73712116690152 110568175035228 147424233380304 221136350070456 442272700140912