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42004143412420 = 2257256975327541
BaseRepresentation
bin10011000110011110110100…
…00011000001010011000100
312111201120000222100000120211
421203033122003001103010
521001143441203144140
6225200234225005204
711563461555010300
oct1143173203012304
9174646028300524
1042004143412420
1112424947a01a42
124864826783804
131a58c87383b57
14a53023370d00
154cc95684c2ea
hex2633da0c14c4

42004143412420 has 72 divisors (see below), whose sum is σ = 102790457262360. Its totient is φ = 14376110353920.

The previous prime is 42004143412409. The next prime is 42004143412421. The reversal of 42004143412420 is 2421434140024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10552505365444 + 31451638046976 = 3248462^2 + 5608176^2 .

It is a super-2 number, since 2×420041434124202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42004143412421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37106151 + ... + 38221390.

It is an arithmetic number, because the mean of its divisors is an integer number (1427645239755).

Almost surely, 242004143412420 is an apocalyptic number.

It is an amenable number.

42004143412420 is an abundant number, since it is smaller than the sum of its proper divisors (60786313849940).

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

42004143412420 is a wasteful number, since it uses less digits than its factorization.

42004143412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75328133 (or 75328124 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 42004143412420 its reverse (2421434140024), we get a palindrome (44425577552444).

The spelling of 42004143412420 in words is "forty-two trillion, four billion, one hundred forty-three million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 569 980 1138 2276 2845 3983 5690 7966 11380 15932 19915 27881 39830 55762 79660 111524 139405 278810 557620 75327541 150655082 301310164 376637705 527292787 753275410 1054585574 1506550820 2109171148 2636463935 3691049509 5272927870 7382099018 10545855740 14764198036 18455247545 36910495090 42861370829 73820990180 85722741658 171445483316 214306854145 300029595803 428613708290 600059191606 857227416580 1200118383212 1500147979015 2100207170621 3000295958030 4200414341242 6000591916060 8400828682484 10501035853105 21002071706210 42004143412420