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144535440 = 24357227379
BaseRepresentation
bin10001001110101…
…10111110010000
3101001222011100110
420213112332100
5244000113230
622201521320
73403350060
oct1047267620
9331864313
10144535440
117464a685
12404a3240
1323c3783a
14152a53a0
15ca504b0
hex89d6f90

144535440 has 160 divisors (see below), whose sum is σ = 515681280. Its totient is φ = 32804352.

The previous prime is 144535439. The next prime is 144535459. The reversal of 144535440 is 44535441.

144535440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144535398 and 144535407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381171 + ... + 381549.

It is an arithmetic number, because the mean of its divisors is an integer number (3223008).

Almost surely, 2144535440 is an apocalyptic number.

144535440 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 144535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257840640).

144535440 is an abundant number, since it is smaller than the sum of its proper divisors (371145840).

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

144535440 is a wasteful number, since it uses less digits than its factorization.

144535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 144535440 is about 12022.2892994637. The cubic root of 144535440 is about 524.7971279649.

Subtracting from 144535440 its reverse (44535441), we obtain a palindrome (99999999).

The spelling of 144535440 in words is "one hundred forty-four million, five hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 227 240 280 336 379 420 454 560 681 758 840 908 1135 1137 1362 1516 1589 1680 1816 1895 2270 2274 2653 2724 3032 3178 3405 3632 3790 4540 4548 4767 5306 5448 5685 6064 6356 6810 7580 7945 7959 9080 9096 9534 10612 10896 11370 12712 13265 13620 15160 15890 15918 18160 18192 19068 21224 22740 23835 25424 26530 27240 30320 31780 31836 38136 39795 42448 45480 47670 53060 54480 63560 63672 76272 79590 86033 90960 95340 106120 127120 127344 159180 172066 190680 212240 258099 318360 344132 381360 430165 516198 602231 636720 688264 860330 1032396 1204462 1290495 1376528 1720660 1806693 2064792 2408924 2580990 3011155 3441320 3613386 4129584 4817848 5161980 6022310 6882640 7226772 9033465 9635696 10323960 12044620 14453544 18066930 20647920 24089240 28907088 36133860 48178480 72267720 144535440