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42140023040 = 285412712963
BaseRepresentation
bin100111001111101111…
…011011100100000000
311000202210212222020002
4213033233123210000
51142300321214130
631205302535132
73021161200013
oct471757334400
9130683788202
1042140023040
1116964a43025
1282007374a8
133c8754459b
14207a8b537a
151169807b45
hex9cfbdb900

42140023040 has 144 divisors (see below), whose sum is σ = 103817016576. Its totient is φ = 16378675200.

The previous prime is 42140023007. The next prime is 42140023129. The reversal of 42140023040 is 4032004124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14220599 + ... + 14223561.

It is an arithmetic number, because the mean of its divisors is an integer number (720951504).

Almost surely, 242140023040 is an apocalyptic number.

42140023040 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 42140023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51908508288).

42140023040 is an abundant number, since it is smaller than the sum of its proper divisors (61676993536).

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

42140023040 is a wasteful number, since it uses less digits than its factorization.

42140023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42140023040 its reverse (4032004124), we get a palindrome (46172027164).

The spelling of 42140023040 in words is "forty-two billion, one hundred forty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 271 320 328 410 542 640 656 820 1084 1280 1312 1355 1640 2168 2624 2710 2963 3280 4336 5248 5420 5926 6560 8672 10496 10840 11111 11852 13120 14815 17344 21680 22222 23704 26240 29630 34688 43360 44444 47408 52480 55555 59260 69376 86720 88888 94816 111110 118520 121483 173440 177776 189632 222220 237040 242966 346880 355552 379264 444440 474080 485932 607415 711104 758528 802973 888880 948160 971864 1214830 1422208 1605946 1777760 1896320 1943728 2429660 2844416 3211892 3555520 3792640 3887456 4014865 4859320 6423784 7111040 7774912 8029730 9718640 12847568 14222080 15549824 16059460 19437280 25695136 31099648 32118920 32921893 38874560 51390272 64237840 65843786 77749120 102780544 128475680 131687572 155498240 164609465 205561088 256951360 263375144 329218930 513902720 526750288 658437860 1027805440 1053500576 1316875720 2107001152 2633751440 4214002304 5267502880 8428004608 10535005760 21070011520 42140023040