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144124561136140 = 22513262696801787
BaseRepresentation
bin100000110001010010011101…
…010001010001101000001100
3200220022011200110200120112221
4200301102131101101220030
5122342314100122324030
61230305524230305124
742233440660343464
oct4061223521215014
9626264613616487
10144124561136140
1141a16979495032
12141b837bab81a4
136255b70654100
142783947634ba4
15119e025ab4e7a
hex83149d451a0c

144124561136140 has 72 divisors (see below), whose sum is σ = 327786461901360. Its totient is φ = 53206726120704.

The previous prime is 144124561136111. The next prime is 144124561136191. The reversal of 144124561136140 is 41631165421441.

It is a super-2 number, since 2×1441245611361402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17788327 + ... + 24590113.

It is an arithmetic number, because the mean of its divisors is an integer number (4552589748630).

Almost surely, 2144124561136140 is an apocalyptic number.

144124561136140 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 144124561136140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163893230950680).

144124561136140 is an abundant number, since it is smaller than the sum of its proper divisors (183661900765220).

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

144124561136140 is a wasteful number, since it uses less digits than its factorization.

144124561136140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808091 (or 6808076 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 144124561136140 in words is "one hundred forty-four trillion, one hundred twenty-four billion, five hundred sixty-one million, one hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 6269 12538 25076 31345 62690 81497 125380 162994 325988 407485 814970 1059461 1629940 2118922 4237844 5297305 6801787 10594610 13603574 21189220 27207148 34008935 68017870 88423231 136035740 176846462 353692924 442116155 884232310 1149502003 1768464620 2299004006 4598008012 5747510015 11495020030 22990040060 42640402703 85280805406 170561610812 213202013515 426404027030 554325235139 852808054060 1108650470278 2217300940556 2771626175695 5543252351390 7206228056807 11086504702780 14412456113614 28824912227228 36031140284035 72062280568070 144124561136140