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42123433322000 = 2453149336073911
BaseRepresentation
bin10011001001111101000000…
…10001111010011000010000
312112010221221111100022011002
421210332200101322120100
521010122242412301000
6225331123233441132
711605213642344242
oct1144764021723020
9175127844308132
1042123433322000
11124704a1a55678
1248839787101a8
131a672b8408074
14a58adc274092
154d0ad92da8d5
hex264fa047a610

42123433322000 has 160 divisors (see below), whose sum is σ = 101977007768064. Its totient is φ = 16829115456000.

The previous prime is 42123433321897. The next prime is 42123433322011. The reversal of 42123433322000 is 22333432124.

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 31 ways as a sum of consecutive naturals, for example, 10770500045 + ... + 10770503955.

Almost surely, 242123433322000 is an apocalyptic number.

42123433322000 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 42123433322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50988503884032).

42123433322000 is an abundant number, since it is smaller than the sum of its proper divisors (59853574446064).

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

42123433322000 is a wasteful number, since it uses less digits than its factorization.

42123433322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 42123433322000 its reverse (22333432124), we get a palindrome (42145766754124).

The spelling of 42123433322000 in words is "forty-two trillion, one hundred twenty-three billion, four hundred thirty-three million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1493 2000 2986 3607 3911 5972 7214 7465 7822 11944 14428 14930 15644 18035 19555 23888 28856 29860 31288 36070 37325 39110 57712 59720 62576 72140 74650 78220 90175 97775 119440 144280 149300 156440 180350 186625 195550 288560 298600 312880 360700 373250 391100 450875 488875 597200 721400 746500 782200 901750 977750 1442800 1493000 1564400 1803500 1955500 2986000 3607000 3911000 5385251 5839123 7214000 7822000 10770502 11678246 14106977 21541004 23356492 26926255 28213954 29195615 43082008 46712984 53852510 56427908 58391230 70534885 86164016 93425968 107705020 112855816 116782460 134631275 141069770 145978075 215410040 225711632 233564920 269262550 282139540 291956150 352674425 430820080 467129840 538525100 564279080 583912300 673156375 705348850 729890375 1077050200 1128558160 1167824600 1346312750 1410697700 1459780750 1763372125 2154100400 2335649200 2692625500 2821395400 2919561500 3526744250 5385251000 5642790800 5839123000 7053488500 10770502000 11678246000 14106977000 21061716661 28213954000 42123433322 84246866644 105308583305 168493733288 210617166610 336987466576 421234333220 526542916525 842468666440 1053085833050 1684937332880 2106171666100 2632714582625 4212343332200 5265429165250 8424686664400 10530858330500 21061716661000 42123433322000