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144443579430 = 23543162768821
BaseRepresentation
bin1000011010000110000…
…0100001110000100110
3111210211112002002210010
42012201200201300212
54331310024020210
6150204555111050
713302306111243
oct2064140416046
9453745062703
10144443579430
11562926a9137
1223bb1a42486
131080c372b37
146dc384c5ca
153b55db7920
hex21a1821c26

144443579430 has 64 divisors (see below), whose sum is σ = 354949740288. Its totient is φ = 37598843520.

The previous prime is 144443579417. The next prime is 144443579459. The reversal of 144443579430 is 34975344441.

It is a super-3 number, since 3×1444435794303 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144443579430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2064420 + ... + 2133240.

It is an arithmetic number, because the mean of its divisors is an integer number (5546089692).

Almost surely, 2144443579430 is an apocalyptic number.

144443579430 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 144443579430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177474870144).

144443579430 is an abundant number, since it is smaller than the sum of its proper divisors (210506160858).

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

144443579430 is a wasteful number, since it uses less digits than its factorization.

144443579430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70501.

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 144443579430 in words is "one hundred forty-four billion, four hundred forty-three million, five hundred seventy-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 1627 3254 4881 8135 9762 16270 24405 48810 68821 69961 137642 139922 206463 209883 344105 349805 412926 419766 688210 699610 1032315 1049415 2064630 2098830 2959303 5918606 8877909 14796515 17755818 29593030 44389545 88779090 111971767 223943534 335915301 559858835 671830602 1119717670 1679576505 3359153010 4814785981 9629571962 14444357943 24073929905 28888715886 48147859810 72221789715 144443579430