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42403851828180 = 223252359173601293
BaseRepresentation
bin10011010010000111010101…
…00001100111101111010100
312120010202202100020101012100
421221003222201213233110
521024221042032000210
6230104021031322100
711634401656332423
oct1151035241475724
9176122670211170
1042403851828180
1112569410988827
12490a198220330
131a8788747cb2b
14a685009112ba
154d804c84a5c0
hex2690ea867bd4

42403851828180 has 144 divisors (see below), whose sum is σ = 136492281394560. Its totient is φ = 10632731932416.

The previous prime is 42403851828119. The next prime is 42403851828187. The reversal of 42403851828180 is 8182815830424.

42403851828180 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 385 + 1 + 82 + 8 + 180 = 666.

42403851828180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×424038518281804 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403851828187) 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 47 ways as a sum of consecutive naturals, for example, 86556387 + ... + 87044906.

It is an arithmetic number, because the mean of its divisors is an integer number (947863065240).

Almost surely, 242403851828180 is an apocalyptic number.

It is an amenable number.

42403851828180 is an abundant number, since it is smaller than the sum of its proper divisors (94088429566380).

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

42403851828180 is a wasteful number, since it uses less digits than its factorization.

42403851828180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173601390 (or 173601385 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 42403851828180 in words is "forty-two trillion, four hundred three billion, eight hundred fifty-one million, eight hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 59 60 69 90 92 115 118 138 177 180 207 230 236 276 295 345 354 414 460 531 590 690 708 828 885 1035 1062 1180 1357 1380 1770 2070 2124 2655 2714 3540 4071 4140 5310 5428 6785 8142 10620 12213 13570 16284 20355 24426 27140 40710 48852 61065 81420 122130 244260 173601293 347202586 520803879 694405172 868006465 1041607758 1562411637 1736012930 2083215516 2604019395 3124823274 3472025860 3992829739 5208038790 6249646548 7812058185 7985659478 10242476287 10416077580 11978489217 15624116370 15971318956 19964148695 20484952574 23956978434 30727428861 31248232740 35935467651 39928297390 40969905148 47913956868 51212381435 59892446085 61454857722 71870935302 79856594780 92182286583 102424762870 119784892170 122909715444 143741870604 153637144305 179677338255 184364573166 204849525740 235576954601 239569784340 307274288610 359354676510 368729146332 460911432915 471153909202 614548577220 706730863803 718709353020 921822865830 942307818404 1177884773005 1413461727606 1843645731660 2120192591409 2355769546010 2826923455212 3533654319015 4240385182818 4711539092020 7067308638030 8480770365636 10600962957045 14134617276060 21201925914090 42403851828180