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144603260790 = 23543227493813
BaseRepresentation
bin1000011010101100000…
…1101010011101110110
3111211020122112202102120
42012223001222131312
54332121413321130
6150232501420410
713306255302462
oct2065301523566
9454218482376
10144603260790
11563648530aa
122403740a706
1310836481551
146ddab374a2
153b64e0a910
hex21ab06a776

144603260790 has 64 divisors (see below), whose sum is σ = 356683827456. Its totient is φ = 37498108032.

The previous prime is 144603260779. The next prime is 144603260801. The reversal of 144603260790 is 97062306441.

144603260790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144603260779) and next prime (144603260801).

It is a super-2 number, since 2×1446032607902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45924 + ... + 539736.

It is an arithmetic number, because the mean of its divisors is an integer number (5573184804).

Almost surely, 2144603260790 is an apocalyptic number.

144603260790 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 144603260790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178341913728).

144603260790 is an abundant number, since it is smaller than the sum of its proper divisors (212080566666).

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

144603260790 is a wasteful number, since it uses less digits than its factorization.

144603260790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494093.

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 144603260790 in words is "one hundred forty-four billion, six hundred three million, two hundred sixty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 227 258 430 454 645 681 1135 1290 1362 2270 3405 6810 9761 19522 29283 48805 58566 97610 146415 292830 493813 987626 1481439 2469065 2962878 4938130 7407195 14814390 21233959 42467918 63701877 106169795 112095551 127403754 212339590 224191102 318509385 336286653 560477755 637018770 672573306 1120955510 1681433265 3362866530 4820108693 9640217386 14460326079 24100543465 28920652158 48201086930 72301630395 144603260790