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1240420421000 = 23536144945289
BaseRepresentation
bin10010000011001110110…
…100011000110110001000
311101120202000212020200002
4102003032310120312020
5130310340111433000
62345501414302132
7155421526420025
oct22031664306610
94346660766602
101240420421000
11439071a98702
1218049a357948
138cc817ab797
144407289454c
15223ed56b8d5
hex120ced18d88

1240420421000 has 128 divisors (see below), whose sum is σ = 2956802940000. Its totient is φ = 486936576000.

The previous prime is 1240420420949. The next prime is 1240420421017. The reversal of 1240420421000 is 1240240421.

It can be written as a sum of positive squares in 16 ways, for example, as 94223213764 + 1146197207236 = 306958^2 + 1070606^2 .

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27366356 + ... + 27411644.

Almost surely, 21240420421000 is an apocalyptic number.

1240420421000 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 1240420421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478401470000).

1240420421000 is an abundant number, since it is smaller than the sum of its proper divisors (1716382519000).

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

1240420421000 is a wasteful number, since it uses less digits than its factorization.

1240420421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45820 (or 45806 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1240420421000 its reverse (1240240421), we get a palindrome (1241660661421).

The spelling of 1240420421000 in words is "one trillion, two hundred forty billion, four hundred twenty million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 449 488 500 610 898 1000 1220 1525 1796 2245 2440 3050 3592 4490 6100 7625 8980 11225 12200 15250 17960 22450 27389 30500 44900 45289 54778 56125 61000 89800 90578 109556 112250 136945 181156 219112 224500 226445 273890 362312 449000 452890 547780 684725 905780 1095560 1132225 1369450 1811560 2264450 2738900 2762629 3423625 4528900 5477800 5525258 5661125 6847250 9057800 11050516 11322250 13694500 13813145 20334761 22101032 22644500 27389000 27626290 40669522 45289000 55252580 69065725 81339044 101673805 110505160 138131450 162678088 203347610 276262900 345328625 406695220 508369025 552525800 690657250 813390440 1016738050 1240420421 1381314500 2033476100 2480840842 2541845125 2762629000 4066952200 4961681684 5083690250 6202102105 9923363368 10167380500 12404204210 20334761000 24808408420 31010510525 49616816840 62021021050 124042042100 155052552625 248084084200 310105105250 620210210500 1240420421000