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42445221344000 = 28534872723641
BaseRepresentation
bin10011010011010100011000…
…10101110011001100000000
312120021201112110021112012222
421221222030111303030000
521030410303131002000
6230135022051510212
711640365103402626
oct1151521425631400
9176251473245188
1042445221344000
1112584a0a9a4322
1249162028b8368
131a8b74b199687
14a6a506d37516
154d916e6a4a85
hex269a8c573300

42445221344000 has 144 divisors (see below), whose sum is σ = 105953508687936. Its totient is φ = 16943219712000.

The previous prime is 42445221343949. The next prime is 42445221344039. The reversal of 42445221344000 is 44312254424.

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, 14222180 + ... + 16945820.

Almost surely, 242445221344000 is an apocalyptic number.

42445221344000 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 42445221344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52976754343968).

42445221344000 is an abundant number, since it is smaller than the sum of its proper divisors (63508287343936).

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

42445221344000 is an equidigital number, since it uses as much as digits as its factorization.

42445221344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724159 (or 2724135 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 42445221344000 its reverse (44312254424), we get a palindrome (42489533598424).

The spelling of 42445221344000 in words is "forty-two trillion, four hundred forty-five billion, two hundred twenty-one million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 487 500 640 800 974 1000 1280 1600 1948 2000 2435 3200 3896 4000 4870 6400 7792 8000 9740 12175 15584 16000 19480 24350 31168 32000 38960 48700 60875 62336 77920 97400 121750 124672 155840 194800 243500 311680 389600 487000 623360 779200 974000 1558400 1948000 2723641 3116800 3896000 5447282 7792000 10894564 13618205 15584000 21789128 27236410 43578256 54472820 68091025 87156512 108945640 136182050 174313024 217891280 272364100 340455125 348626048 435782560 544728200 680910250 697252096 871565120 1089456400 1326413167 1361820500 1743130240 2178912800 2652826334 2723641000 3486260480 4357825600 5305652668 5447282000 6632065835 8715651200 10611305336 10894564000 13264131670 17431302400 21222610672 21789128000 26528263340 33160329175 42445221344 43578256000 53056526680 66320658350 84890442688 87156512000 106113053360 132641316700 165801645875 169780885376 212226106720 265282633400 331603291750 339561770752 424452213440 530565266800 663206583500 848904426880 1061130533600 1326413167000 1697808853760 2122261067200 2652826334000 4244522134400 5305652668000 8489044268800 10611305336000 21222610672000 42445221344000