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144303013290 = 235414324111321
BaseRepresentation
bin1000011001100100100…
…0010011110110101010
3111210110201120121021210
42012121020103312222
54331013032411130
6150143014213550
713265651242362
oct2063110236652
9453421517253
10144303013290
115622031a777
1223b729542b6
13107b91c7bc7
146daccdb9a2
153b4889d5b0
hex2199213daa

144303013290 has 128 divisors (see below), whose sum is σ = 364563327744. Its totient is φ = 36513792000.

The previous prime is 144303013289. The next prime is 144303013291. The reversal of 144303013290 is 92310303441.

It is an interprime number because it is at equal distance from previous prime (144303013289) and next prime (144303013291).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (144303013291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12740830 + ... + 12752150.

It is an arithmetic number, because the mean of its divisors is an integer number (2848150998).

Almost surely, 2144303013290 is an apocalyptic number.

144303013290 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 144303013290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182281663872).

144303013290 is an abundant number, since it is smaller than the sum of its proper divisors (220260314454).

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

144303013290 is a wasteful number, since it uses less digits than its factorization.

144303013290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 144303013290 in words is "one hundred forty-four billion, three hundred three million, thirteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 43 82 86 123 129 205 215 241 246 258 410 430 482 615 645 723 1205 1230 1290 1446 1763 2410 3526 3615 5289 7230 8815 9881 10363 10578 11321 17630 19762 20726 22642 26445 29643 31089 33963 49405 51815 52890 56605 59286 62178 67926 98810 103630 113210 148215 155445 169815 296430 310890 339630 424883 464161 486803 849766 928322 973606 1274649 1392483 1460409 2124415 2320805 2434015 2549298 2728361 2784966 2920818 4248830 4641610 4868030 5456722 6373245 6962415 7302045 8185083 12746490 13641805 13924830 14604090 16370166 19958923 27283610 39917846 40925415 59876769 81850830 99794615 111862801 117319523 119753538 199589230 223725602 234639046 299383845 335588403 351958569 559314005 586597615 598767690 671176806 703917138 1118628010 1173195230 1677942015 1759792845 3355884030 3519585690 4810100443 9620200886 14430301329 24050502215 28860602658 48101004430 72151506645 144303013290