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144014040 = 233252317393
BaseRepresentation
bin10001001010101…
…11101011011000
3101000222200010100
420211113223120
5243331422130
622142415400
73366046002
oct1045275330
9330880110
10144014040
1174323975
1240291560
1323ab4411
14151ab372
15c99ac60
hex8957ad8

144014040 has 96 divisors (see below), whose sum is σ = 488423520. Its totient is φ = 36731904.

The previous prime is 144013999. The next prime is 144014081. The reversal of 144014040 is 40410441.

144014040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144013999) and next prime (144014081).

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, 417 + ... + 16976.

It is an arithmetic number, because the mean of its divisors is an integer number (5087745).

Almost surely, 2144014040 is an apocalyptic number.

144014040 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 144014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244211760).

144014040 is an abundant number, since it is smaller than the sum of its proper divisors (344409480).

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

144014040 is a wasteful number, since it uses less digits than its factorization.

144014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17433 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144014040 is about 12000.5849857413. The cubic root of 144014040 is about 524.1653131072.

Adding to 144014040 its reverse (40410441), we get a palindrome (184424481).

The spelling of 144014040 in words is "one hundred forty-four million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 17393 34786 52179 69572 86965 104358 139144 156537 173930 208716 260895 313074 347860 400039 417432 521790 626148 695720 782685 800078 1043580 1200117 1252296 1565370 1600156 2000195 2087160 2400234 3130740 3200312 3600351 4000390 4800468 6000585 6261480 7200702 8000780 9600936 12001170 14401404 16001560 18001755 24002340 28802808 36003510 48004680 72007020 144014040