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142341520500 = 22325331631449
BaseRepresentation
bin1000010010010000110…
…1110011110001110100
3111121102000200110000200
42010210031303301310
54313003412124000
6145220224440500
713166232650454
oct2044415636164
9447360613020
10142341520500
1155404094153
1223705a79130
1310565a13a9a
146c645c7d64
153a81595500
hex2124373c74

142341520500 has 72 divisors (see below), whose sum is σ = 449040064200. Its totient is φ = 37957737600.

The previous prime is 142341520471. The next prime is 142341520507. The reversal of 142341520500 is 5025143241.

142341520500 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 4 + 152 + 0 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5177953764 + 137163566736 = 71958^2 + 370356^2 .

It is a super-2 number, since 2×1423415205002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142341520507) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15811225 + ... + 15820224.

Almost surely, 2142341520500 is an apocalyptic number.

142341520500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142341520500 is an abundant number, since it is smaller than the sum of its proper divisors (306698543700).

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

142341520500 is a wasteful number, since it uses less digits than its factorization.

142341520500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31631474 (or 31631459 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 142341520500 its reverse (5025143241), we get a palindrome (147366663741).

The spelling of 142341520500 in words is "one hundred forty-two billion, three hundred forty-one million, five hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 31631449 63262898 94894347 126525796 158157245 189788694 284683041 316314490 379577388 474471735 569366082 632628980 790786225 948943470 1138732164 1423415205 1581572450 1897886940 2372358675 2846830410 3163144900 3953931125 4744717350 5693660820 7117076025 7907862250 9489434700 11861793375 14234152050 15815724500 23723586750 28468304100 35585380125 47447173500 71170760250 142341520500