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144234354142120 = 235112677328121683
BaseRepresentation
bin100000110010111000101101…
…011100010110101110101000
3200220200200002010121011111211
4200302320231130112232220
5122401113424130021440
61230432203023402504
742244405516450024
oct4062705534265650
9626620063534454
10144234354142120
1141a5949a805500
1214215701453434
136263319cb8438
142788da1135384
1511a1cee920eea
hex832e2d716ba8

144234354142120 has 384 divisors, whose sum is σ = 368318293499520. Its totient is φ = 50774595379200.

The previous prime is 144234354142063. The next prime is 144234354142171. The reversal of 144234354142120 is 21241453432441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6651944799 + ... + 6651966481.

It is an arithmetic number, because the mean of its divisors is an integer number (959162222655).

Almost surely, 2144234354142120 is an apocalyptic number.

144234354142120 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 144234354142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184159146749760).

144234354142120 is an abundant number, since it is smaller than the sum of its proper divisors (224083939357400).

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

144234354142120 is a wasteful number, since it uses less digits than its factorization.

144234354142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22137 (or 22122 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 144234354142120 in words is "one hundred forty-four trillion, two hundred thirty-four billion, three hundred fifty-four million, one hundred forty-two thousand, one hundred twenty".