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42542300324524 = 227111311299410939
BaseRepresentation
bin10011010110001001001101…
…01100101110001010101100
312120122000010001111201001011
421223010212230232022230
521034003112340341044
6230251355111155004
711650402601204440
oct1153044654561254
9176560101451034
1042542300324524
11126120a7504240
124930b96375a64
131a9794c788c10
14a710b6070820
154db95224c134
hex26b126b2e2ac

42542300324524 has 96 divisors (see below), whose sum is σ = 100048079577600. Its totient is φ = 15286374812160.

The previous prime is 42542300324497. The next prime is 42542300324533.

42542300324524 is nontrivially palindromic in base 10.

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, 184954 + ... + 9225985.

It is an arithmetic number, because the mean of its divisors is an integer number (1042167495600).

Almost surely, 242542300324524 is an apocalyptic number.

42542300324524 is a gapful number since it is divisible by the number (44) 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 42542300324524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50024039788800).

42542300324524 is an abundant number, since it is smaller than the sum of its proper divisors (57505779253076).

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

42542300324524 is a wasteful number, since it uses less digits than its factorization.

42542300324524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412103 (or 9412101 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 42542300 and 324524, that added together give a palindrome (42866824).

The spelling of 42542300324524 in words is "forty-two trillion, five hundred forty-two billion, three hundred million, three hundred twenty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1129 2002 2258 4004 4516 7903 12419 14677 15806 24838 29354 31612 49676 58708 86933 102739 161447 173866 205478 322894 347732 410956 645788 1130129 2260258 4520516 9410939 18821878 37643756 65876573 103520329 122342207 131753146 207040658 244684414 263506292 414081316 489368828 724642303 856395449 1345764277 1449284606 1712790898 2691528554 2898569212 3425581796 5383057108 9420349939 10624950131 18840699878 21249900262 37681399756 42499800524 74374650917 116874451441 138124351703 148749301834 233748902882 276248703406 297498603668 467497805764 552497406812 818121160087 966870461921 1519367868733 1636242320174 1933740923842 3038735737466 3272484640348 3867481847684 6077471474932 10635575081131 21271150162262 42542300324524