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144507948 = 223131496217
BaseRepresentation
bin10001001110100…
…00010000101100
3101001220202122020
420213100100230
5243443223243
622201150140
73403203654
oct1047202054
9331822566
10144507948
1174630a62
124048b350
1323c28180
1415299364
15ca47283
hex89d042c

144507948 has 48 divisors (see below), whose sum is σ = 365618400. Its totient is φ = 44158464.

The previous prime is 144507947. The next prime is 144507967. The reversal of 144507948 is 849705441.

It is not an unprimeable number, because it can be changed into a prime (144507947) 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, 20136 + ... + 26352.

It is an arithmetic number, because the mean of its divisors is an integer number (7617050).

Almost surely, 2144507948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144507948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182809200).

144507948 is an abundant number, since it is smaller than the sum of its proper divisors (221110452).

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

144507948 is a wasteful number, since it uses less digits than its factorization.

144507948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 144507948 is about 12021.1458688430. The cubic root of 144507948 is about 524.7638520719.

The spelling of 144507948 in words is "one hundred forty-four million, five hundred seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 447 596 894 1788 1937 3874 5811 6217 7748 11622 12434 18651 23244 24868 37302 74604 80821 161642 242463 323284 484926 926333 969852 1852666 2778999 3705332 5557998 11115996 12042329 24084658 36126987 48169316 72253974 144507948