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42823642140 = 223558811449
BaseRepresentation
bin100111111000011111…
…001110110000011100
311002112110020102100000
4213320133032300130
51200200323022030
631401203134300
73044131644426
oct477037166034
9132473212300
1042823642140
1117185914194
128371674390
134066069926
1421035c7816
1511a9841860
hex9f87cec1c

42823642140 has 72 divisors (see below), whose sum is σ = 134709447600. Its totient is φ = 11419636608.

The previous prime is 42823642139. The next prime is 42823642151. The reversal of 42823642140 is 4124632824.

42823642140 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 3 + 642 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×428236421402 (a number of 22 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 = 42823642095 and 42823642104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4400865 + ... + 4410584.

It is an arithmetic number, because the mean of its divisors is an integer number (1870964550).

Almost surely, 242823642140 is an apocalyptic number.

It is an amenable number.

42823642140 is an abundant number, since it is smaller than the sum of its proper divisors (91885805460).

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

42823642140 is a wasteful number, since it uses less digits than its factorization.

42823642140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811473 (or 8811459 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42823642140 in words is "forty-two billion, eight hundred twenty-three million, six hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 8811449 17622898 26434347 35245796 44057245 52868694 79303041 88114490 105737388 132171735 158606082 176228980 237909123 264343470 317212164 396515205 475818246 528686940 713727369 793030410 951636492 1189545615 1427454738 1586060820 2141182107 2379091230 2854909476 3568636845 4282364214 4758182460 7137273690 8564728428 10705910535 14274547380 21411821070 42823642140