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144043400 = 235253107127
BaseRepresentation
bin10001001010111…
…10110110001000
3101001001011101202
420211132312020
5243333342100
622143203332
73366230414
oct1045366610
9331034352
10144043400
1174343a36
12402a6548
1323ac48a7
14151b7d44
15c9a47d5
hex895ed88

144043400 has 96 divisors (see below), whose sum is σ = 347120640. Its totient is φ = 55560960.

The previous prime is 144043379. The next prime is 144043409. The reversal of 144043400 is 4340441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144043409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134137 + ... + 1134263.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2144043400 is an apocalyptic number.

144043400 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 144043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

144043400 is an abundant number, since it is smaller than the sum of its proper divisors (203077240).

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

144043400 is a wasteful number, since it uses less digits than its factorization.

144043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144043400 is about 12001.8081971010. The cubic root of 144043400 is about 524.2009310417.

Adding to 144043400 its reverse (4340441), we get a palindrome (148383841).

The spelling of 144043400 in words is "one hundred forty-four million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 107 127 200 212 214 254 265 424 428 508 530 535 635 856 1016 1060 1070 1270 1325 2120 2140 2540 2650 2675 3175 4280 5080 5300 5350 5671 6350 6731 10600 10700 11342 12700 13462 13589 21400 22684 25400 26924 27178 28355 33655 45368 53848 54356 56710 67310 67945 108712 113420 134620 135890 141775 168275 226840 269240 271780 283550 336550 339725 543560 567100 673100 679450 720217 1134200 1346200 1358900 1440434 2717800 2880868 3601085 5761736 7202170 14404340 18005425 28808680 36010850 72021700 144043400