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3382480803141 = 351122927719949
BaseRepresentation
bin110001001110001011100…
…100010001010101000101
3102222100202220101020100000
4301032023210101111011
5420404310041200031
611105520142311513
7466243012304316
oct61161344212505
912870686336300
103382480803141
111094558261190
12467669b88599
131b6c7473106b
14b99da46860d
155cebd0a93e6
hex3138b911545

3382480803141 has 96 divisors (see below), whose sum is σ = 5571833904000. Its totient is φ = 2033566145280.

The previous prime is 3382480803019. The next prime is 3382480803167. The reversal of 3382480803141 is 1413080842833.

3382480803141 is a `hidden beast` number, since 3 + 3 + 82 + 480 + 80 + 3 + 14 + 1 = 666.

It is not a de Polignac number, because 3382480803141 - 210 = 3382480802117 is a prime.

It is a super-2 number, since 2×33824808031412 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382480808141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169546435 + ... + 169566383.

It is an arithmetic number, because the mean of its divisors is an integer number (58039936500).

Almost surely, 23382480803141 is an apocalyptic number.

It is an amenable number.

3382480803141 is a deficient number, since it is larger than the sum of its proper divisors (2189353100859).

3382480803141 is a wasteful number, since it uses less digits than its factorization.

3382480803141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20481 (or 20469 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3382480803141 in words is "three trillion, three hundred eighty-two billion, four hundred eighty million, eight hundred three thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 229 243 277 297 687 831 891 2061 2493 2519 2673 3047 6183 7479 7557 9141 18549 19949 22437 22671 27423 55647 59847 63433 67311 68013 82269 179541 190299 204039 219439 246807 538623 570897 612117 658317 697763 740421 1615869 1712691 1974951 2093289 4568321 4847607 5138073 5525873 5924853 6279867 13704963 15414219 16577619 17774559 18839601 41114889 49732857 50251531 53323677 56518803 60784603 123344667 149198571 150754593 169556409 182353809 370034001 447595713 452263779 547061427 1110102003 1265424917 1342787139 1356791337 1641184281 3796274751 4070374011 4923552843 11388824253 12211122033 13919674087 14770658529 34166472759 41759022261 102499418277 125277066783 307498254831 375831200349 1127493601047 3382480803141