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144555040 = 2557196793
BaseRepresentation
bin10001001110110…
…11110000100000
3101002000011020101
420213123300200
5244001230130
622202152144
73403461160
oct1047336040
9332004211
10144555040
1174663383
12404b2654
1323c43736
14152ac5a0
15ca561ca
hex89dbc20

144555040 has 96 divisors (see below), whose sum is σ = 410901120. Its totient is φ = 46946304.

The previous prime is 144555011. The next prime is 144555043. The reversal of 144555040 is 40555441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144555043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17884 + ... + 24676.

It is an arithmetic number, because the mean of its divisors is an integer number (4280220).

Almost surely, 2144555040 is an apocalyptic number.

144555040 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 144555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205450560).

144555040 is an abundant number, since it is smaller than the sum of its proper divisors (266346080).

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

144555040 is a wasteful number, since it uses less digits than its factorization.

144555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 144555040 is about 12023.1044243989. The cubic root of 144555040 is about 524.8208489263.

The spelling of 144555040 in words is "one hundred forty-four million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 6793 10640 13586 21280 27172 33965 47551 54344 67930 95102 108688 129067 135860 190204 217376 237755 258134 271720 380408 475510 516268 543440 645335 760816 903469 951020 1032536 1086880 1290670 1521632 1806938 1902040 2065072 2581340 3613876 3804080 4130144 4517345 5162680 7227752 7608160 9034690 10325360 14455504 18069380 20650720 28911008 36138760 72277520 144555040