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142211503205420 = 225111961735511403
BaseRepresentation
bin100000010101011100110010…
…001000011010110000101100
3200122112021202011200110100212
4200111130302020122300230
5122114443124310033140
61222243021311441552
741645304423261155
oct4025346210326054
9618467664613325
10142211503205420
1141349618127770
1213b496608262b8
13614764452665c
1427191058ba92c
1511693aa77a765
hex81573221ac2c

142211503205420 has 96 divisors (see below), whose sum is σ = 342996275623680. Its totient is φ = 48983577327360.

The previous prime is 142211503205371. The next prime is 142211503205459. The reversal of 142211503205420 is 24502305112241.

142211503205420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1422115032054202 (a number of 29 digits) contains 22 as substring.

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, 23047439 + ... + 28558841.

It is an arithmetic number, because the mean of its divisors is an integer number (3572877871080).

Almost surely, 2142211503205420 is an apocalyptic number.

142211503205420 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 142211503205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171498137811840).

142211503205420 is an abundant number, since it is smaller than the sum of its proper divisors (200784772418260).

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

142211503205420 is a wasteful number, since it uses less digits than its factorization.

142211503205420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517615 (or 5517613 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 142211503205420 its reverse (24502305112241), we get a palindrome (166713808317661).

The spelling of 142211503205420 in words is "one hundred forty-two trillion, two hundred eleven billion, five hundred three million, two hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 6173 12346 24692 30865 61730 67903 117287 123460 135806 234574 271612 339515 469148 586435 679030 1172870 1290157 1358060 2345740 2580314 5160628 5511403 6450785 11022806 12901570 22045612 25803140 27557015 55114030 60625433 104716657 110228060 121250866 209433314 242501732 303127165 418866628 523583285 606254330 1047166570 1151883227 1212508660 2094333140 2303766454 4607532908 5759416135 11518832270 23037664540 34021890719 68043781438 136087562876 170109453595 340218907190 374240797909 646415923661 680437814380 748481595818 1292831847322 1496963191636 1871203989545 2585663694644 3232079618305 3742407979090 6464159236610 7110575160271 7484815958180 12928318473220 14221150320542 28442300641084 35552875801355 71105751602710 142211503205420