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42442134343320 = 23352317478802281
BaseRepresentation
bin10011010011001110101000…
…10101110100111010011000
312120021102120022112122101110
421221213110111310322120
521030332442342441240
6230133351454420320
711640225440335635
oct1151472425647230
9176242508478343
1042442134343320
1112583676410a98
1249156a0b016a0
131a8b37877345a
14a6a2d2d6518c
154d903d677c80
hex2699d4574e98

42442134343320 has 128 divisors (see below), whose sum is σ = 132938400407040. Its totient is φ = 10819621739520.

The previous prime is 42442134343253. The next prime is 42442134343321. The reversal of 42442134343320 is 2334343124424.

It is a happy number.

42442134343320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442134343321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420580 + ... + 9222860.

It is an arithmetic number, because the mean of its divisors is an integer number (1038581253180).

Almost surely, 242442134343320 is an apocalyptic number.

42442134343320 is a gapful number since it is divisible by the number (40) 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 42442134343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66469200203520).

42442134343320 is an abundant number, since it is smaller than the sum of its proper divisors (90496266063720).

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

42442134343320 is a wasteful number, since it uses less digits than its factorization.

42442134343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804065 (or 8804061 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 42442134343320 its reverse (2334343124424), we get a palindrome (44776477467744).

The spelling of 42442134343320 in words is "forty-two trillion, four hundred forty-two billion, one hundred thirty-four million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1747 2760 3494 5241 6988 8735 10482 13976 17470 20964 26205 34940 40181 41928 52410 69880 80362 104820 120543 160724 200905 209640 241086 321448 401810 482172 602715 803620 964344 1205430 1607240 2410860 4821720 8802281 17604562 26406843 35209124 44011405 52813686 70418248 88022810 105627372 132034215 176045620 202452463 211254744 264068430 352091240 404904926 528136860 607357389 809809852 1012262315 1056273720 1214714778 1619619704 2024524630 2429429556 3036786945 4049049260 4858859112 6073573890 8098098520 12147147780 15377584907 24294295560 30755169814 46132754721 61510339628 76887924535 92265509442 123020679256 153775849070 184531018884 230663773605 307551698140 353684452861 369062037768 461327547210 615103396280 707368905722 922655094420 1061053358583 1414737811444 1768422264305 1845310188840 2122106717166 2829475622888 3536844528610 4244213434332 5305266792915 7073689057220 8488426868664 10610533585830 14147378114440 21221067171660 42442134343320