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144104940 = 22335767569
BaseRepresentation
bin10001001011011…
…01110111101100
3101001011021211000
420211231313230
5243342324230
622144400300
73366605010
oct1045556754
9331137730
10144104940
11743861a1
1240316090
1323b168c5
14151d2540
15c9b7b60
hex896ddec

144104940 has 192 divisors, whose sum is σ = 520934400. Its totient is φ = 32389632.

The previous prime is 144104929. The next prime is 144104941. The reversal of 144104940 is 49401441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144104941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252976 + ... + 253544.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 2144104940 is an apocalyptic number.

144104940 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 144104940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

144104940 is an abundant number, since it is smaller than the sum of its proper divisors (376829460).

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

144104940 is a wasteful number, since it uses less digits than its factorization.

144104940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144104940 is about 12004.3717036753. The cubic root of 144104940 is about 524.2755722778.

The spelling of 144104940 in words is "one hundred forty-four million, one hundred four thousand, nine hundred forty".