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2141444970 = 23257192931199
BaseRepresentation
bin111111110100011…
…1101101101101010
312112020111200020200
41333220331231222
513341202214340
6552254333030
7104031660540
oct17750755552
95466450220
102141444970
119a9876335
124b91ba176
1328186c302
14164597d90
15c8002330
hex7fa3db6a

2141444970 has 384 divisors, whose sum is σ = 7188480000. Its totient is φ = 431101440.

The previous prime is 2141444957. The next prime is 2141444971. The reversal of 2141444970 is 794441412.

2141444970 is a `hidden beast` number, since 2 + 141 + 4 + 449 + 70 = 666.

It is not an unprimeable number, because it can be changed into a prime (2141444971) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10760931 + ... + 10761129.

It is an arithmetic number, because the mean of its divisors is an integer number (18720000).

Almost surely, 22141444970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141444970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594240000).

2141444970 is an abundant number, since it is smaller than the sum of its proper divisors (5047035030).

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

2141444970 is a wasteful number, since it uses less digits than its factorization.

2141444970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2141444970 is about 46275.7492645986. The cubic root of 2141444970 is about 1288.9487198439.

The spelling of 2141444970 in words is "two billion, one hundred forty-one million, four hundred forty-four thousand, nine hundred seventy".