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144300301404 = 223723257290621
BaseRepresentation
bin1000011001100011110…
…1111101110001011100
3111210110112110211021120
42012120331331301130
54331011334121104
6150142440130540
713265616216120
oct2063075756134
9453415424246
10144300301404
1156219838246
1223b71a66a50
13107b878873c
146dac7d3580
153b48514cd9
hex2198f7dc5c

144300301404 has 96 divisors (see below), whose sum is σ = 403095038976. Its totient is φ = 39282524160.

The previous prime is 144300301273. The next prime is 144300301417. The reversal of 144300301404 is 404103003441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351214 + ... + 641834.

It is an arithmetic number, because the mean of its divisors is an integer number (4198906656).

Almost surely, 2144300301404 is an apocalyptic number.

144300301404 is a gapful number since it is divisible by the number (14) 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 144300301404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201547519488).

144300301404 is an abundant number, since it is smaller than the sum of its proper divisors (258794737572).

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

144300301404 is a wasteful number, since it uses less digits than its factorization.

144300301404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290915 (or 290913 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144300301404 its reverse (404103003441), we get a palindrome (548403304845).

The spelling of 144300301404 in words is "one hundred forty-four billion, three hundred million, three hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 257 276 322 483 514 644 771 966 1028 1542 1799 1932 3084 3598 5397 5911 7196 10794 11822 17733 21588 23644 35466 41377 70932 82754 124131 165508 248262 290621 496524 581242 871863 1162484 1743726 2034347 3487452 4068694 6103041 6684283 8137388 12206082 13368566 20052849 24412164 26737132 40105698 46789981 74689597 80211396 93579962 140369943 149379194 187159924 224068791 280739886 298758388 448137582 522827179 561479772 896275164 1045654358 1568481537 1717860731 2091308716 3136963074 3435721462 5153582193 6273926148 6871442924 10307164386 12025025117 20614328772 24050050234 36075075351 48100100468 72150150702 144300301404