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144661000 = 23531113151
BaseRepresentation
bin10001001111101…
…01101000001000
3101002012112120211
420213311220020
5244013123000
622204330504
73404412121
oct1047655010
9332175524
10144661000
1174725a50
1240543a34
1323c7ca33
14152d9048
15ca777ba
hex89f5a08

144661000 has 64 divisors (see below), whose sum is σ = 369308160. Its totient is φ = 52600000.

The previous prime is 144660991. The next prime is 144661031. The reversal of 144661000 is 166441.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4425 + ... + 17575.

It is an arithmetic number, because the mean of its divisors is an integer number (5770440).

Almost surely, 2144661000 is an apocalyptic number.

144661000 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 144661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184654080).

144661000 is an abundant number, since it is smaller than the sum of its proper divisors (224647160).

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

144661000 is a wasteful number, since it uses less digits than its factorization.

144661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13183 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 144661000 is about 12027.5101330242. The cubic root of 144661000 is about 524.9490502333.

The spelling of 144661000 in words is "one hundred forty-four million, six hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 13151 26302 52604 65755 105208 131510 144661 263020 289322 328775 526040 578644 657550 723305 1157288 1315100 1446610 1643875 2630200 2893220 3287750 3616525 5786440 6575500 7233050 13151000 14466100 18082625 28932200 36165250 72330500 144661000