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144162018000 = 243453721113127
BaseRepresentation
bin1000011001000010111…
…0011101001011010000
3111210002220021022010000
42012100232131023100
54330220434034000
6150121020210000
713262316635400
oct2062056351320
9453086238100
10144162018000
1156158778940
1223b33699900
1310795c2c840
146d982b8800
153b3b2ec000
hex2190b9d2d0

144162018000 has 2400 divisors, whose sum is σ = 717242093568. Its totient is φ = 27433728000.

The previous prime is 144162017983. The next prime is 144162018017. The reversal of 144162018000 is 810261441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144162017983) and next prime (144162018017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1135133937 + ... + 1135134063.

Almost surely, 2144162018000 is an apocalyptic number.

144162018000 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 144162018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358621046784).

144162018000 is an abundant number, since it is smaller than the sum of its proper divisors (573080075568).

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

144162018000 is a wasteful number, since it uses less digits than its factorization.

144162018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 144162018000 its reverse (810261441), we get a palindrome (144972279441).

The spelling of 144162018000 in words is "one hundred forty-four billion, one hundred sixty-two million, eighteen thousand".