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142355201440 = 25543101349587
BaseRepresentation
bin1000010010010100000…
…1111111110110100000
3111121102222102111202011
42010211001333312200
54313020412421230
6145221434002304
713166460150544
oct2044501776640
9447388374664
10142355201440
1155410888911
122370a576394
13105687c3c0a
146c66349a24
153a82898e2a
hex212507fda0

142355201440 has 192 divisors, whose sum is σ = 349132291200. Its totient is φ = 54815846400.

The previous prime is 142355201419. The next prime is 142355201467. The reversal of 142355201440 is 44102553241.

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, 242512827 + ... + 242513413.

It is an arithmetic number, because the mean of its divisors is an integer number (1818397350).

Almost surely, 2142355201440 is an apocalyptic number.

142355201440 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 142355201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174566145600).

142355201440 is an abundant number, since it is smaller than the sum of its proper divisors (206777089760).

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

142355201440 is a wasteful number, since it uses less digits than its factorization.

142355201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 142355201440 its reverse (44102553241), we get a palindrome (186457754681).

The spelling of 142355201440 in words is "one hundred forty-two billion, three hundred fifty-five million, two hundred one thousand, four hundred forty".