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442440132400420 = 225711303871945463
BaseRepresentation
bin110010010011001011001111…
…0111011010001010100100100
32011000112212022112210112010221
41210212112132323101110210
5430442414342343303140
64204554105121054124
7162123146635125130
oct14446263673212444
92130485275715127
10442440132400420
11118a7a896393320
1241757a41187344
1315cb4c053166bb
147b3830676a3c0
153623d3ab5d14a
hex192659eed1524

442440132400420 has 96 divisors (see below), whose sum is σ = 1158393747603456. Its totient is φ = 137902818211200.

The previous prime is 442440132400411. The next prime is 442440132400477. The reversal of 442440132400420 is 24004231044244.

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, 467488609 + ... + 468434071.

It is an arithmetic number, because the mean of its divisors is an integer number (12066601537536).

Almost surely, 2442440132400420 is an apocalyptic number.

It is an amenable number.

442440132400420 is an abundant number, since it is smaller than the sum of its proper divisors (715953615203036).

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

442440132400420 is a wasteful number, since it uses less digits than its factorization.

442440132400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249361 (or 1249359 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 442440132400420 its reverse (24004231044244), we get a palindrome (466444363444664).

The spelling of 442440132400420 in words is "four hundred forty-two trillion, four hundred forty billion, one hundred thirty-two million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 303871 607742 945463 1215484 1519355 1890926 2127097 3038710 3342581 3781852 4254194 4727315 6077420 6618241 6685162 8508388 9454630 10400093 10635485 13236482 13370324 16712905 18909260 20800186 21270970 23398067 26472964 33091205 33425810 41600372 42541940 46796134 52000465 66182410 66851620 72800651 93592268 104000930 116990335 132364820 145601302 208001860 233980670 291202604 364003255 467961340 728006510 1456013020 287298787273 574597574546 1149195149092 1436493936365 2011091510911 2872987872730 3160286660003 4022183021822 5745975745460 6320573320006 8044366043644 10055457554555 12641146640012 15801433300015 20110915109110 22122006620021 31602866600030 40221830218220 44244013240042 63205733200060 88488026480084 110610033100105 221220066200210 442440132400420