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5303541240120 = 2335194519514741
BaseRepresentation
bin100110100101101001110…
…1100010001000100111000
3200210000100220111210100210
41031023103230101010320
51143343123024140440
615140225130431120
71055111460505644
oct115132354210470
920700326453323
105303541240120
111765245848992
12717a412924a0
132c617776b616
1414499ad3dc24
1592e55c36a80
hex4d2d3b11138

5303541240120 has 128 divisors (see below), whose sum is σ = 16751763648000. Its totient is φ = 1339542904320.

The previous prime is 5303541240119. The next prime is 5303541240161. The reversal of 5303541240120 is 210421453035.

It is a super-2 number, since 2×53035412401202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10045950 + ... + 10560690.

It is an arithmetic number, because the mean of its divisors is an integer number (130873153500).

Almost surely, 25303541240120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5303541240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375881824000).

5303541240120 is an abundant number, since it is smaller than the sum of its proper divisors (11448222407880).

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

5303541240120 is a wasteful number, since it uses less digits than its factorization.

5303541240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519293 (or 519289 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 5303541240120 its reverse (210421453035), we get a palindrome (5513962693155).

The spelling of 5303541240120 in words is "five trillion, three hundred three billion, five hundred forty-one million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 4519 9038 13557 18076 22595 27114 36152 45190 54228 67785 85861 90380 108456 135570 171722 180760 257583 271140 343444 429305 514741 515166 542280 686888 858610 1029482 1030332 1287915 1544223 1717220 2058964 2060664 2573705 2575830 3088446 3434440 4117928 5147410 5151660 6176892 7721115 9780079 10294820 10303320 12353784 15442230 19560158 20589640 29340237 30884460 39120316 48900395 58680474 61768920 78240632 97800790 117360948 146701185 195601580 234721896 293402370 391203160 586804740 1173609480 2326114579 4652229158 6978343737 9304458316 11630572895 13956687474 18608916632 23261145790 27913374948 34891718685 44196177001 46522291580 55826749896 69783437370 88392354002 93044583160 132588531003 139566874740 176784708004 220980885005 265177062006 279133749480 353569416008 441961770010 530354124012 662942655015 883923540020 1060708248024 1325885310030 1767847080040 2651770620060 5303541240120