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330024241401040 = 24537206354044923
BaseRepresentation
bin100101100001001111100000…
…1101011010000110011010000
31121021112000020211010010000101
41023002133001223100303100
5321224104121244313130
63125523013220502144
7126341315233526014
oct11302370153206320
91537460224103011
10330024241401040
1196179549613a0a
1231020aaa84a954
131121c1c9b61b44
145b6d3894da544
152824a4b9101ca
hex12c27c1ad0cd0

330024241401040 has 80 divisors (see below), whose sum is σ = 788426375125248. Its totient is φ = 128379604796928.

The previous prime is 330024241401011. The next prime is 330024241401047. The reversal of 330024241401040 is 40104142420033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3300242414010402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330024241401047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20915982 + ... + 33128941.

Almost surely, 2330024241401040 is an apocalyptic number.

It is an amenable number.

330024241401040 is an abundant number, since it is smaller than the sum of its proper divisors (458402133724208).

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

330024241401040 is a wasteful number, since it uses less digits than its factorization.

330024241401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54047036 (or 54047030 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 330024241401040 its reverse (40104142420033), we get a palindrome (370128383821073).

The spelling of 330024241401040 in words is "three hundred thirty trillion, twenty-four billion, two hundred forty-one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2063 2960 4126 8252 10315 16504 20630 33008 41260 76331 82520 152662 165040 305324 381655 610648 763310 1221296 1526620 3053240 6106480 54044923 108089846 216179692 270224615 432359384 540449230 864718768 1080898460 1999662151 2161796920 3999324302 4323593840 7998648604 9998310755 15997297208 19996621510 31994594416 39993243020 79986486040 111494676149 159972972080 222989352298 445978704596 557473380745 891957409192 1114946761490 1783914818384 2229893522980 4125303017513 4459787045960 8250606035026 8919574091920 16501212070052 20626515087565 33002424140104 41253030175130 66004848280208 82506060350260 165012120700520 330024241401040