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144047970 = 23551117317
BaseRepresentation
bin10001001010111…
…11111101100010
3101001001101200000
420211133331202
5243334013340
622143240430
73366246633
oct1045377542
9331041600
10144047970
1174347410
12402a9116
1323ac69b1
14151b988a
15c9a5d30
hex895ff62

144047970 has 192 divisors, whose sum is σ = 450043776. Its totient is φ = 32762880.

The previous prime is 144047963. The next prime is 144047977. The reversal of 144047970 is 79740441.

It is an interprime number because it is at equal distance from previous prime (144047963) and next prime (144047977).

It is a super-2 number, since 2×1440479702 = 41499635322241800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144047977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454252 + ... + 454568.

It is an arithmetic number, because the mean of its divisors is an integer number (2343978).

Almost surely, 2144047970 is an apocalyptic number.

144047970 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 144047970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225021888).

144047970 is an abundant number, since it is smaller than the sum of its proper divisors (305995806).

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

144047970 is a wasteful number, since it uses less digits than its factorization.

144047970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 144047970 is about 12001.9985835693. The cubic root of 144047970 is about 524.2064746786.

The spelling of 144047970 in words is "one hundred forty-four million, forty-seven thousand, nine hundred seventy".