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1442212120220 = 2253124715710169
BaseRepresentation
bin10100111111001010100…
…010101000011010011100
312002212121020112200102212
4110333022202220122130
5142112122300321340
63022313150535552
7206124234516644
oct24771242503234
95085536480385
101442212120220
11506703163a63
121b3615b075b8
13a60000726c1
144db368cb524
15277ade59a65
hex14fca8a869c

1442212120220 has 144 divisors (see below), whose sum is σ = 3216753751680. Its totient is φ = 542863825920.

The previous prime is 1442212120201. The next prime is 1442212120231. The reversal of 1442212120220 is 220212122441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141819296 + ... + 141829464.

It is an arithmetic number, because the mean of its divisors is an integer number (22338567720).

Almost surely, 21442212120220 is an apocalyptic number.

1442212120220 is a gapful number since it is divisible by the number (10) 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 1442212120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608376875840).

1442212120220 is an abundant number, since it is smaller than the sum of its proper divisors (1774541631460).

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

1442212120220 is a wasteful number, since it uses less digits than its factorization.

1442212120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10444 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1442212120220 its reverse (220212122441), we get a palindrome (1662424242661).

The spelling of 1442212120220 in words is "one trillion, four hundred forty-two billion, two hundred twelve million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 157 188 235 310 314 470 620 628 785 940 961 1457 1570 1922 2914 3140 3844 4805 4867 5828 7285 7379 9610 9734 10169 14570 14758 19220 19468 20338 24335 29140 29516 36895 40676 45167 48670 50845 73790 90334 97340 101690 147580 150877 180668 203380 225835 228749 301754 315239 451670 457498 477943 603508 630478 754385 903340 914996 955886 1143745 1260956 1508770 1576195 1596533 1911772 2287490 2389715 3017540 3152390 3193066 4574980 4779430 6304780 6386132 7091219 7982665 9558860 9772409 14182438 14816233 15965330 19544818 28364876 29632466 31930660 35456095 39089636 48862045 49492523 59264932 70912190 74081165 75037051 97724090 98985046 141824380 148162330 150074102 195448180 197970092 247462615 296324660 300148204 375185255 459303223 494925230 750370510 918606446 989850460 1500741020 1534268213 1837212892 2296516115 2326148581 3068536426 4593032230 4652297162 6137072852 7671341065 9186064460 9304594324 11630742905 15342682130 23261485810 30685364260 46522971620 72110606011 144221212022 288442424044 360553030055 721106060110 1442212120220