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142221334204400 = 24521132323030501
BaseRepresentation
bin100000010101100101111100…
…000110101100111111110000
3200122120020010022102221200012
4200111211330012230333300
5122120123243024020100
61222251325020114052
741646103146344603
oct4025457406547760
9618506108387605
10142221334204400
1141352802501810
1213b4b545095928
1361485501c1409
14271979940a33a
1511697838a4135
hex81597c1acff0

142221334204400 has 60 divisors (see below), whose sum is σ = 372749187749064. Its totient is φ = 51716848800000.

The previous prime is 142221334204303. The next prime is 142221334204429. The reversal of 142221334204400 is 4402433122241.

It is a happy number.

142221334204400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1422213342044003 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16161510851 + ... + 16161519650.

Almost surely, 2142221334204400 is an apocalyptic number.

142221334204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142221334204400 is an abundant number, since it is smaller than the sum of its proper divisors (230527853544664).

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

142221334204400 is a wasteful number, since it uses less digits than its factorization.

142221334204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32323030530 (or 32323030519 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 142221334204400 its reverse (4402433122241), we get a palindrome (146623767326641).

The spelling of 142221334204400 in words is "one hundred forty-two trillion, two hundred twenty-one billion, three hundred thirty-four million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 32323030501 64646061002 129292122004 161615152505 258584244008 323230305010 355553335511 517168488016 646460610020 711106671022 808075762525 1292921220040 1422213342044 1616151525050 1777766677555 2585842440080 2844426684088 3232303050100 3555533355110 5688853368176 6464606100200 7111066710220 8888833387775 12929212200400 14222133420440 17777666775550 28444266840880 35555333551100 71110667102200 142221334204400