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1142066970 = 23251121731199
BaseRepresentation
bin100010000010010…
…1000111100011010
32221121000000100200
41010010220330122
54314332120340
6305154243030
740205260212
oct10404507432
92847000320
101142066970
11536737900
1227a586476
131527bc295
14ab96d242
156a3e5330
hex44128f1a

1142066970 has 288 divisors, whose sum is σ = 3585254400. Its totient is φ = 250905600.

The previous prime is 1142066963. The next prime is 1142067019. The reversal of 1142066970 is 796602411.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5738931 + ... + 5739129.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 21142066970 is an apocalyptic number.

1142066970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142066970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792627200).

1142066970 is an abundant number, since it is smaller than the sum of its proper divisors (2443187430).

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

1142066970 is a wasteful number, since it uses less digits than its factorization.

1142066970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1142066970 is about 33794.4813542093. The cubic root of 1142066970 is about 1045.2749045914.

The spelling of 1142066970 in words is "one billion, one hundred forty-two million, sixty-six thousand, nine hundred seventy".