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144869376 = 2113171973
BaseRepresentation
bin10001010001010…
…00100000000000
3101002121010102110
420220220200000
5244041310001
622213015320
73406240461
oct1050504000
9332533373
10144869376
1174858563
1240624540
1324023832
1415350d68
15cab93d6
hex8a28800

144869376 has 192 divisors, whose sum is σ = 436363200. Its totient is φ = 42467328.

The previous prime is 144869371. The next prime is 144869383. The reversal of 144869376 is 673968441.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1448693762 = 41974272205258752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (144869371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1984476 + ... + 1984548.

It is an arithmetic number, because the mean of its divisors is an integer number (2272725).

Almost surely, 2144869376 is an apocalyptic number.

144869376 is a gapful number since it is divisible by the number (16) 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 144869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218181600).

144869376 is an abundant number, since it is smaller than the sum of its proper divisors (291493824).

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

144869376 is a wasteful number, since it uses less digits than its factorization.

144869376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 144869376 is about 12036.1694903320. The cubic root of 144869376 is about 525.2009824598.

The spelling of 144869376 in words is "one hundred forty-four million, eight hundred sixty-nine thousand, three hundred seventy-six".