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30041712720 = 2432557772313
BaseRepresentation
bin11011111110101000…
…000010100001010000
32212112122210010110200
4123332220002201100
5443011134301340
621445002055200
72112314226165
oct337650024120
985478703420
1030041712720
1111816844458
1259a4aaa500
132aa9c0b396
14164dbc606c
15bac618330
hex6fea02850

30041712720 has 120 divisors (see below), whose sum is σ = 101066335656. Its totient is φ = 7997128704.

The previous prime is 30041712643. The next prime is 30041712721. The reversal of 30041712720 is 2721714003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19769484816 + 10272227904 = 140604^2 + 101352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30041712721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379284 + ... + 451596.

Almost surely, 230041712720 is an apocalyptic number.

30041712720 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 30041712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50533167828).

30041712720 is an abundant number, since it is smaller than the sum of its proper divisors (71024622936).

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

30041712720 is a wasteful number, since it uses less digits than its factorization.

30041712720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72909 (or 72900 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 30041712720 in words is "thirty billion, forty-one million, seven hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 577 720 1154 1731 2308 2885 3462 4616 5193 5770 6924 8655 9232 10386 11540 13848 17310 20772 23080 25965 27696 34620 41544 46160 51930 69240 72313 83088 103860 138480 144626 207720 216939 289252 361565 415440 433878 578504 650817 723130 867756 1084695 1157008 1301634 1446260 1735512 2169390 2603268 2892520 3254085 3471024 4338780 5206536 5785040 6508170 8677560 10413072 13016340 17355120 26032680 41724601 52065360 83449202 125173803 166898404 208623005 250347606 333796808 375521409 417246010 500695212 625869015 667593616 751042818 834492020 1001390424 1251738030 1502085636 1668984040 1877607045 2002780848 2503476060 3004171272 3337968080 3755214090 5006952120 6008342544 7510428180 10013904240 15020856360 30041712720