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144213400 = 23524143409
BaseRepresentation
bin10001001100010…
…00010110011000
3101001100210121001
420212020112120
5243404312100
622150554344
73400536142
oct1046102630
9331323531
10144213400
117444a731
12403689b4
1323b54096
141521dc92
15c9d9d6a
hex8988598

144213400 has 96 divisors (see below), whose sum is σ = 352321200. Its totient is φ = 54835200.

The previous prime is 144213367. The next prime is 144213451. The reversal of 144213400 is 4312441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352396 + ... + 352804.

Almost surely, 2144213400 is an apocalyptic number.

144213400 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 144213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160600).

144213400 is an abundant number, since it is smaller than the sum of its proper divisors (208107800).

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

144213400 is a wasteful number, since it uses less digits than its factorization.

144213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 144213400 is about 12008.8883748663. Note that the first 3 decimals coincide. The cubic root of 144213400 is about 524.4070705888.

Adding to 144213400 its reverse (4312441), we get a palindrome (148525841).

The spelling of 144213400 in words is "one hundred forty-four million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 43 50 82 86 100 164 172 200 205 215 328 344 409 410 430 818 820 860 1025 1075 1636 1640 1720 1763 2045 2050 2150 3272 3526 4090 4100 4300 7052 8180 8200 8600 8815 10225 14104 16360 16769 17587 17630 20450 33538 35174 35260 40900 44075 67076 70348 70520 81800 83845 87935 88150 134152 140696 167690 175870 176300 335380 351740 352600 419225 439675 670760 703480 721067 838450 879350 1442134 1676900 1758700 2884268 3353800 3517400 3605335 5768536 7210670 14421340 18026675 28842680 36053350 72106700 144213400