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42110442420 = 223547119312517
BaseRepresentation
bin100111001101111110…
…100101101110110100
311000200202020010020120
4213031332211232310
51142220233124140
631202324531540
73020351566104
oct471576455664
9130622203216
1042110442420
111694a279732
1281b2850bb0
133c81388467
1420769b5204
151166e131d0
hex9cdfa5bb4

42110442420 has 96 divisors (see below), whose sum is σ = 120528511488. Its totient is φ = 10980436992.

The previous prime is 42110442419. The next prime is 42110442421. The reversal of 42110442420 is 2424401124.

It is an interprime number because it is at equal distance from previous prime (42110442419) and next prime (42110442421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42110442421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3358002 + ... + 3370518.

It is an arithmetic number, because the mean of its divisors is an integer number (1255505328).

Almost surely, 242110442420 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 42110442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264255744).

42110442420 is an abundant number, since it is smaller than the sum of its proper divisors (78418069068).

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

42110442420 is a wasteful number, since it uses less digits than its factorization.

42110442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13769 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42110442420 its reverse (2424401124), we get a palindrome (44534843544).

The spelling of 42110442420 in words is "forty-two billion, one hundred ten million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1193 1410 2386 2820 3579 4772 5965 7158 11930 12517 14316 17895 23860 25034 35790 37551 50068 56071 62585 71580 75102 112142 125170 150204 168213 187755 224284 250340 280355 336426 375510 560710 588299 672852 751020 841065 1121420 1176598 1682130 1764897 2353196 2941495 3364260 3529794 5882990 7059588 8824485 11765980 14932781 17648970 29865562 35297940 44798343 59731124 74663905 89596686 149327810 179193372 223991715 298655620 447983430 701840707 895966860 1403681414 2105522121 2807362828 3509203535 4211044242 7018407070 8422088484 10527610605 14036814140 21055221210 42110442420