Search a number
-
+
30003544133200 = 24521118137673963
BaseRepresentation
bin1101101001001101111101…
…00101110000111001010000
310221020022101120121101020201
412310212332211300321100
512413034224244230300
6143451234330144544
76214453536130111
oct664467645607120
9127208346541221
1030003544133200
119618482521860
123446a7a282154
13139842578b7a1
1475a271d56208
153706db00266a
hex1b49be970e50

30003544133200 has 120 divisors (see below), whose sum is σ = 79071019818336. Its totient is φ = 10850101056000.

The previous prime is 30003544133183. The next prime is 30003544133203. The reversal of 30003544133200 is 233144530003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30003544133203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18040582 + ... + 19633381.

Almost surely, 230003544133200 is an apocalyptic number.

It is an amenable number.

30003544133200 is an abundant number, since it is smaller than the sum of its proper divisors (49067475685136).

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

30003544133200 is a wasteful number, since it uses less digits than its factorization.

30003544133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37674173 (or 37674162 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 30003544133200 its reverse (233144530003), we get a palindrome (30236688663203).

The spelling of 30003544133200 in words is "thirty trillion, three billion, five hundred forty-four million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 181 200 220 275 362 400 440 550 724 880 905 1100 1448 1810 1991 2200 2896 3620 3982 4400 4525 7240 7964 9050 9955 14480 15928 18100 19910 31856 36200 39820 49775 72400 79640 99550 159280 199100 398200 796400 37673963 75347926 150695852 188369815 301391704 376739630 414413593 602783408 753479260 828827186 941849075 1506958520 1657654372 1883698150 2072067965 3013917040 3315308744 3767396300 4144135930 6630617488 6818987303 7534792600 8288271860 10360339825 13637974606 15069585200 16576543720 20720679650 27275949212 33153087440 34094936515 41441359300 54551898424 68189873030 75008860333 82882718600 109103796848 136379746060 150017720666 165765437200 170474682575 272759492120 300035441332 340949365150 375044301665 545518984240 600070882664 681898730300 750088603330 1200141765328 1363797460600 1500177206660 1875221508325 2727594921200 3000354413320 3750443016650 6000708826640 7500886033300 15001772066600 30003544133200