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143042234101344 = 2534427312915059
BaseRepresentation
bin100000100001100010011101…
…100011010010111001100000
3200202110201000020102110110000
4200201202131203102321200
5122222100443412220334
61224120410053540000
742062313623343024
oct4041423543227140
9622421006373400
10143042234101344
1141639964057406
1214062662944600
1361a7a951041c6
1427473d1388384
151180ccb91d299
hex82189d8d2e60

143042234101344 has 120 divisors (see below), whose sum is σ = 420781721172120. Its totient is φ = 47669582398464.

The previous prime is 143042234101343. The next prime is 143042234101373. The reversal of 143042234101344 is 443101432240341.

143042234101344 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 4 + 223 + 410 + 13 + 4 + 4 = 666.

It is a super-2 number, since 2×1430422341013442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 143042234101299 and 143042234101308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143042234101343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4618087 + ... + 17533145.

It is an arithmetic number, because the mean of its divisors is an integer number (3506514343101).

Almost surely, 2143042234101344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143042234101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210390860586060).

143042234101344 is an abundant number, since it is smaller than the sum of its proper divisors (277739487070776).

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

143042234101344 is a wasteful number, since it uses less digits than its factorization.

143042234101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12919354 (or 12919337 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 143042234101344 its reverse (443101432240341), we get a palindrome (586143666341685).

The spelling of 143042234101344 in words is "one hundred forty-three trillion, forty-two billion, two hundred thirty-four million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4273 8546 12819 17092 25638 34184 38457 51276 68368 76914 102552 115371 136736 153828 205104 230742 307656 346113 410208 461484 615312 692226 922968 1230624 1384452 1845936 2768904 3691872 5537808 11075616 12915059 25830118 38745177 51660236 77490354 103320472 116235531 154980708 206640944 232471062 309961416 348706593 413281888 464942124 619922832 697413186 929884248 1046119779 1239845664 1394826372 1859768496 2092239558 2789652744 3719536992 4184479116 5579305488 8368958232 11158610976 16737916464 33475832928 55186047107 110372094214 165558141321 220744188428 331116282642 441488376856 496674423963 662232565284 882976753712 993348847926 1324465130568 1490023271889 1765953507424 1986697695852 2648930261136 2980046543778 3973395391704 4470069815667 5297860522272 5960093087556 7946790783408 8940139631334 11920186175112 15893581566816 17880279262668 23840372350224 35760558525336 47680744700448 71521117050672 143042234101344