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212140234110042 = 232722632402338069
BaseRepresentation
bin110000001111000010111111…
…010010111111010001011010
31000211010102000122221001201100
4300033002333102333101122
5210301201144413010132
62031103513403132230
762453424522521100
oct6017027722772132
91024112018831640
10212140234110042
116165a193741667
121b962247214076
13914a979bab6b4
143a558dbd71c70
15197d3c352737c
hexc0f0bf4bf45a

212140234110042 has 144 divisors (see below), whose sum is σ = 536749422168960. Its totient is φ = 60376934003904.

The previous prime is 212140234110011. The next prime is 212140234110071. The reversal of 212140234110042 is 240011432041212.

212140234110042 is a `hidden beast` number, since 2 + 1 + 214 + 0 + 2 + 341 + 100 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212140234109988 and 212140234110015.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5572500184 + ... + 5572538252.

It is an arithmetic number, because the mean of its divisors is an integer number (3727426542840).

Almost surely, 2212140234110042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212140234110042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268374711084480).

212140234110042 is an abundant number, since it is smaller than the sum of its proper divisors (324609188058918).

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

212140234110042 is a wasteful number, since it uses less digits than its factorization.

212140234110042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62377 (or 62367 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212140234110042 its reverse (240011432041212), we get a palindrome (452151666151254).

The spelling of 212140234110042 in words is "two hundred twelve trillion, one hundred forty billion, two hundred thirty-four million, one hundred ten thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 263 294 441 526 789 882 1578 1841 2367 3682 4734 5523 11046 12887 16569 24023 25774 33138 38069 38661 48046 72069 76138 77322 114207 115983 144138 168161 216207 228414 231966 266483 336322 342621 432414 504483 532966 685242 799449 1008966 1177127 1513449 1598898 1865381 2354254 2398347 3026898 3531381 3730762 4796694 5596143 6318049 7062762 10012147 10594143 11192286 12636098 16788429 18954147 20024294 21188286 30036441 33576858 37908294 44226343 56862441 60072882 70085029 88452686 90109323 113724882 132679029 140170058 180218646 210255087 265358058 309584401 398037087 420510174 490595203 619168802 630765261 796074174 914531587 928753203 981190406 1261530522 1471785609 1829063174 1857506406 2743594761 2786259609 2943571218 4415356827 5487189522 5572519218 6401721109 8230784283 8830713654 12803442218 16461568566 19205163327 38410326654 44812047763 57615489981 89624095526 115230979962 134436143289 240521807381 268872286578 403308429867 481043614762 721565422143 806616859734 1443130844286 1683652651667 2164696266429 3367305303334 4329392532858 5050957955001 10101915910002 11785568561669 15152873865003 23571137123338 30305747730006 35356705685007 70713411370014 106070117055021 212140234110042