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153143200000 = 28557232941
BaseRepresentation
bin1000111010100000001…
…0111100100100000000
3112122021210221121200101
42032220002330210000
510002114124400000
6154204130132144
714031013502440
oct2165002744400
9478253847611
10153143200000
1159a473868aa
122581b421054
131159782170b
1475aadd2120
153eb4a0ce6a
hex23a80bc900

153143200000 has 864 divisors, whose sum is σ = 482864094720. Its totient is φ = 47308800000.

The previous prime is 153143199949. The next prime is 153143200003. The reversal of 153143200000 is 2341351.

It is not an unprimeable number, because it can be changed into a prime (153143200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3735199980 + ... + 3735200020.

It is an arithmetic number, because the mean of its divisors is an integer number (558870480).

Almost surely, 2153143200000 is an apocalyptic number.

153143200000 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 153143200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241432047360).

153143200000 is an abundant number, since it is smaller than the sum of its proper divisors (329720894720).

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

153143200000 is an frugal number, since it uses more digits than its factorization.

153143200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 153143200000 its reverse (2341351), we get a palindrome (153145541351).

The spelling of 153143200000 in words is "one hundred fifty-three billion, one hundred forty-three million, two hundred thousand".