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305444055420 = 2232572203110039
BaseRepresentation
bin1000111000111011110…
…00100110100101111100
31002012101220212200211100
410130131320212211330
520001022134233140
6352152530053100
731032121430130
oct4343570464574
91065356780740
10305444055420
111085a122a759
124b24471a190
1322a5998548a
1410ad81953c0
157e2a5cc530
hex471de2697c

305444055420 has 144 divisors (see below), whose sum is σ = 1059363002880. Its totient is φ = 69783458688.

The previous prime is 305444055419. The next prime is 305444055421. The reversal of 305444055420 is 24550444503.

305444055420 is a `hidden beast` number, since 3 + 0 + 5 + 44 + 40 + 554 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (305444055419) and next prime (305444055421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305444055421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2720761 + ... + 2830799.

It is an arithmetic number, because the mean of its divisors is an integer number (7356687520).

Almost surely, 2305444055420 is an apocalyptic number.

305444055420 is a gapful number since it is divisible by the number (30) 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 305444055420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529681501440).

305444055420 is an abundant number, since it is smaller than the sum of its proper divisors (753918947460).

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

305444055420 is a wasteful number, since it uses less digits than its factorization.

305444055420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112264 (or 112259 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 305444055420 its reverse (24550444503), we get a palindrome (329994499923).

The spelling of 305444055420 in words is "three hundred five billion, four hundred forty-four million, fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2203 4406 6609 8812 11015 13218 15421 19827 22030 26436 30842 33045 39654 44060 46263 61684 66090 77105 79308 92526 99135 110039 132180 138789 154210 185052 198270 220078 231315 277578 308420 330117 396540 440156 462630 550195 555156 660234 693945 770273 925260 990351 1100390 1320468 1387890 1540546 1650585 1980702 2200780 2310819 2775780 3081092 3301170 3851365 3961404 4621638 4951755 6602340 6932457 7702730 9243276 9903510 11554095 13864914 15405460 19807020 23108190 27729828 34662285 46216380 69324570 138649140 242415917 484831834 727247751 969663668 1212079585 1454495502 1696911419 2181743253 2424159170 2908991004 3393822838 3636238755 4363486506 4848318340 5090734257 6787645676 7272477510 8484557095 8726973012 10181468514 10908716265 14544955020 15272202771 16969114190 20362937028 21817432530 25453671285 30544405542 33938228380 43634865060 50907342570 61088811084 76361013855 101814685140 152722027710 305444055420