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142129226880 = 2733511037457
BaseRepresentation
bin1000010001011110001…
…1111110010010000000
3111120212020012210221000
42010113203332102000
54312040040230010
6145143202332000
713161044331564
oct2042743762200
9446766183830
10142129226880
1155305274883
122366695a000
1310530a43c64
146c443256a4
153a6cb0d7c0
hex21178fe480

142129226880 has 256 divisors, whose sum is σ = 503898278400. Its totient is φ = 37861687296.

The previous prime is 142129226879. The next prime is 142129226881. The reversal of 142129226880 is 88622921241.

142129226880 is a `hidden beast` number, since 1 + 4 + 21 + 292 + 268 + 80 = 666.

142129226880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142129226879) and next prime (142129226881).

It is a super-3 number, since 3×1421292268803 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (142129226881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19056112 + ... + 19063568.

It is an arithmetic number, because the mean of its divisors is an integer number (1968352650).

Almost surely, 2142129226880 is an apocalyptic number.

142129226880 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 142129226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251949139200).

142129226880 is an abundant number, since it is smaller than the sum of its proper divisors (361769051520).

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

142129226880 is a wasteful number, since it uses less digits than its factorization.

142129226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8588 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 142129226880 in words is "one hundred forty-two billion, one hundred twenty-nine million, two hundred twenty-six thousand, eight hundred eighty".