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144194130 = 232523411699
BaseRepresentation
bin10001001100000…
…11101001010010
3101001022211011100
420212003221102
5243403203010
622150325230
73400426023
oct1046035122
9331284140
10144194130
1174437203
1240359816
1323b48392
1415216c4a
15c9d42c0
hex8983a52

144194130 has 96 divisors (see below), whose sum is σ = 400982400. Its totient is φ = 35861760.

The previous prime is 144194111. The next prime is 144194159. The reversal of 144194130 is 31491441.

144194130 is a `hidden beast` number, since 1 + 441 + 94 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144194094 and 144194103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84021 + ... + 85719.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2144194130 is an apocalyptic number.

144194130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144194130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

144194130 is an abundant number, since it is smaller than the sum of its proper divisors (256788270).

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

144194130 is a wasteful number, since it uses less digits than its factorization.

144194130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 144194130 is about 12008.0860256745. The cubic root of 144194130 is about 524.3837122084.

The spelling of 144194130 in words is "one hundred forty-four million, one hundred ninety-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 41 45 46 69 82 90 115 123 138 205 207 230 246 345 369 410 414 615 690 738 943 1035 1230 1699 1845 1886 2070 2829 3398 3690 4715 5097 5658 8487 8495 9430 10194 14145 15291 16974 16990 25485 28290 30582 39077 42435 50970 69659 76455 78154 84870 117231 139318 152910 195385 208977 234462 348295 351693 390770 417954 586155 626931 696590 703386 1044885 1172310 1253862 1602157 1758465 2089770 3134655 3204314 3516930 4806471 6269310 8010785 9612942 14419413 16021570 24032355 28838826 48064710 72097065 144194130