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144161700 = 2235217231229
BaseRepresentation
bin10001001011110…
…11101110100100
3101001021011200020
420211323232210
5243401133300
622145515140
73400232334
oct1045735644
9331234606
10144161700
1174414901
1240342ab0
1323b366a7
14152090c4
15c9c98a0
hex897bba4

144161700 has 144 divisors (see below), whose sum is σ = 461220480. Its totient is φ = 34580480.

The previous prime is 144161681. The next prime is 144161747. The reversal of 144161700 is 7161441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116686 + ... + 117914.

It is an arithmetic number, because the mean of its divisors is an integer number (3202920).

Almost surely, 2144161700 is an apocalyptic number.

144161700 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 144161700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230610240).

144161700 is an abundant number, since it is smaller than the sum of its proper divisors (317058780).

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

144161700 is a wasteful number, since it uses less digits than its factorization.

144161700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 144161700 is about 12006.7356096484. The cubic root of 144161700 is about 524.3443970647.

The spelling of 144161700 in words is "one hundred forty-four million, one hundred sixty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 204 230 255 276 300 340 345 391 425 460 510 575 690 782 850 1020 1150 1173 1229 1275 1380 1564 1700 1725 1955 2300 2346 2458 2550 3450 3687 3910 4692 4916 5100 5865 6145 6900 7374 7820 9775 11730 12290 14748 18435 19550 20893 23460 24580 28267 29325 30725 36870 39100 41786 56534 58650 61450 62679 73740 83572 84801 92175 104465 113068 117300 122900 125358 141335 169602 184350 208930 250716 282670 313395 339204 368700 417860 424005 480539 522325 565340 626790 706675 848010 961078 1044650 1253580 1413350 1441617 1566975 1696020 1922156 2089300 2120025 2402695 2826700 2883234 3133950 4240050 4805390 5766468 6267900 7208085 8480100 9610780 12013475 14416170 24026950 28832340 36040425 48053900 72080850 144161700