Search a number
-
+
144447000 = 2335389541
BaseRepresentation
bin10001001110000…
…01011000011000
3101001210200000220
420213001120120
5243434301000
622200000040
73402531165
oct1047013030
9331720026
10144447000
117459a195
1240460020
1323c064c9
141528106c
15ca341a0
hex89c1618

144447000 has 128 divisors (see below), whose sum is σ = 456580800. Its totient is φ = 38016000.

The previous prime is 144446989. The next prime is 144447029. The reversal of 144447000 is 744441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 266730 + ... + 267270.

Almost surely, 2144447000 is an apocalyptic number.

144447000 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 144447000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228290400).

144447000 is an abundant number, since it is smaller than the sum of its proper divisors (312133800).

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

144447000 is a wasteful number, since it uses less digits than its factorization.

144447000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 144447000 is about 12018.6105686140. The cubic root of 144447000 is about 524.6900665000.

The spelling of 144447000 in words is "one hundred forty-four million, four hundred forty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 541 600 712 750 890 1000 1068 1082 1335 1500 1623 1780 2136 2164 2225 2670 2705 3000 3246 3560 4328 4450 5340 5410 6492 6675 8115 8900 10680 10820 11125 12984 13350 13525 16230 17800 21640 22250 26700 27050 32460 33375 40575 44500 48149 53400 54100 64920 66750 67625 81150 89000 96298 108200 133500 135250 144447 162300 192596 202875 240745 267000 270500 288894 324600 385192 405750 481490 541000 577788 722235 811500 962980 1155576 1203725 1444470 1623000 1925960 2407450 2888940 3611175 4814900 5777880 6018625 7222350 9629800 12037250 14444700 18055875 24074500 28889400 36111750 48149000 72223500 144447000