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144238185000 = 23335471359199
BaseRepresentation
bin1000011001010101000…
…1000000101000101000
3111210022012120222121000
42012111101000220220
54330344433410000
6150132340515000
713264233225540
oct2062521005050
9453265528530
10144238185000
1156197771278
1223b550aba60
13107a894a380
146da4464320
153b42d45000
hex2195440a28

144238185000 has 1280 divisors, whose sum is σ = 629798400000. Its totient is φ = 29766528000.

The previous prime is 144238184969. The next prime is 144238185053. The reversal of 144238185000 is 581832441.

144238185000 is a `hidden beast` number, since 1 + 442 + 38 + 185 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 724814901 + ... + 724815099.

It is an arithmetic number, because the mean of its divisors is an integer number (492030000).

Almost surely, 2144238185000 is an apocalyptic number.

144238185000 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 144238185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314899200000).

144238185000 is an abundant number, since it is smaller than the sum of its proper divisors (485560215000).

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

144238185000 is a wasteful number, since it uses less digits than its factorization.

144238185000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 144238185000 in words is "one hundred forty-four billion, two hundred thirty-eight million, one hundred eighty-five thousand".