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442551544130052 = 2232717505920419717
BaseRepresentation
bin110010010011111111000111…
…1100101010010101000000100
32011000221111220000121210111200
41210213332033211102220010
5431001231030244130202
64205121212301102500
7162134202551163330
oct14447761745225004
92130844800553450
10442551544130052
11119013068403835
1241775554857a30
1315cc257c13ac86
147b3d8752367c0
153626babb65e1c
hex1927f8f952a04

442551544130052 has 144 divisors (see below), whose sum is σ = 1353954722440320. Its totient is φ = 118981927904256.

The previous prime is 442551544130041. The next prime is 442551544130081. The reversal of 442551544130052 is 250031445155244.

442551544130052 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 51 + 544 + 1 + 3 + 0 + 0 + 52 = 666.

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, 11462898 + ... + 31882614.

It is an arithmetic number, because the mean of its divisors is an integer number (9402463350280).

Almost surely, 2442551544130052 is an apocalyptic number.

442551544130052 is a gapful number since it is divisible by the number (42) 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 442551544130052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676977361220160).

442551544130052 is an abundant number, since it is smaller than the sum of its proper divisors (911403178310268).

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

442551544130052 is a wasteful number, since it uses less digits than its factorization.

442551544130052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20424810 (or 20424805 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

Adding to 442551544130052 its reverse (250031445155244), we get a palindrome (692582989285296).

The spelling of 442551544130052 in words is "four hundred forty-two trillion, five hundred fifty-one billion, five hundred forty-four million, one hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 5059 10118 15177 20236 30354 35413 45531 60708 70826 86003 91062 106239 141652 172006 182124 212478 258009 318717 344012 424956 516018 602021 637434 774027 1032036 1204042 1274868 1548054 1806063 2408084 3096108 3612126 5418189 7224252 10836378 20419717 21672756 40839434 61259151 81678868 122518302 142938019 183777453 245036604 285876038 347135189 367554906 428814057 571752076 694270378 735109812 857628114 1041405567 1286442171 1388540756 1715256228 2082811134 2429946323 2572884342 3124216701 4165622268 4859892646 5145768684 6248433402 7289838969 9719785292 12496866804 14579677938 21869516907 29159355876 43739033814 87478067628 103303348303 206606696606 309910044909 413213393212 619820089818 723123438121 929730134727 1239640179636 1446246876242 1756156921151 1859460269454 2169370314363 2892493752484 3512313842302 3718920538908 4338740628726 5268470763453 6508110943089 7024627684604 8677481257452 10536941526906 12293098448057 13016221886178 15805412290359 21073883053812 24586196896114 26032443772356 31610824580718 36879295344171 49172393792228 63221649161436 73758590688342 110637886032513 147517181376684 221275772065026 442551544130052