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144131040 = 25325101991
BaseRepresentation
bin10001001011101…
…00001111100000
3101001012121121200
420211310033200
5243344143130
622145121200
73400044054
oct1045641740
9331177550
10144131040
11743a3869
1240329200
1323b25751
14151dbc64
15c9c0760
hex89743e0

144131040 has 144 divisors (see below), whose sum is σ = 497218176. Its totient is φ = 38016000.

The previous prime is 144131023. The next prime is 144131063. The reversal of 144131040 is 40131441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 144945 + ... + 145935.

It is an arithmetic number, because the mean of its divisors is an integer number (3452904).

Almost surely, 2144131040 is an apocalyptic number.

144131040 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 144131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248609088).

144131040 is an abundant number, since it is smaller than the sum of its proper divisors (353087136).

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

144131040 is a wasteful number, since it uses less digits than its factorization.

144131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144131040 is about 12005.4587584149. The cubic root of 144131040 is about 524.3072222833.

Adding to 144131040 its reverse (40131441), we get a palindrome (184262481).

The spelling of 144131040 in words is "one hundred forty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 991 1010 1212 1440 1515 1616 1818 1982 2020 2424 2973 3030 3232 3636 3964 4040 4545 4848 4955 5946 6060 7272 7928 8080 8919 9090 9696 9910 11892 12120 14544 14865 15856 16160 17838 18180 19820 23784 24240 29088 29730 31712 35676 36360 39640 44595 47568 48480 59460 71352 72720 79280 89190 95136 100091 118920 142704 145440 158560 178380 200182 237840 285408 300273 356760 400364 475680 500455 600546 713520 800728 900819 1000910 1201092 1427040 1501365 1601456 1801638 2001820 2402184 3002730 3202912 3603276 4003640 4504095 4804368 6005460 7206552 8007280 9008190 9608736 12010920 14413104 16014560 18016380 24021840 28826208 36032760 48043680 72065520 144131040