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401335424325 = 34521123783361
BaseRepresentation
bin1011101011100010111…
…01001001010101000101
31102100220202101221210000
411311301131021111011
523033413332034300
6504212042551513
740665315551253
oct5656135112505
91370822357700
10401335424325
11145229425470
1265946508599
132bacc1ca254
14155d36a55d3
15a68dc84c00
hex5d71749545

401335424325 has 120 divisors (see below), whose sum is σ = 846256568256. Its totient is φ = 186126336000.

The previous prime is 401335424291. The next prime is 401335424333. The reversal of 401335424325 is 523424533104.

401335424325 is a `hidden beast` number, since 40 + 1 + 3 + 354 + 243 + 25 = 666.

It is not a de Polignac number, because 401335424325 - 211 = 401335422277 is a prime.

It is a super-2 number, since 2×4013354243252 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401335424325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 120645 + ... + 904005.

Almost surely, 2401335424325 is an apocalyptic number.

401335424325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401335424325 is an abundant number, since it is smaller than the sum of its proper divisors (444921143931).

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

401335424325 is a wasteful number, since it uses less digits than its factorization.

401335424325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783417 (or 783403 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 401335424325 its reverse (523424533104), we get a palindrome (924759957429).

The spelling of 401335424325 in words is "four hundred one billion, three hundred thirty-five million, four hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 27 33 45 55 69 75 81 99 115 135 165 207 225 253 275 297 345 405 495 575 621 675 759 825 891 1035 1265 1485 1725 1863 2025 2277 2475 3105 3795 4455 5175 6325 6831 7425 9315 11385 15525 18975 20493 22275 34155 46575 56925 102465 170775 512325 783361 2350083 3916805 7050249 8616971 11750415 18017303 19584025 21150747 25850913 35251245 43084855 54051909 58752075 63452241 77552739 90086515 105753735 129254565 162155727 176256225 198190333 215424275 232658217 270259545 317261205 387763695 450432575 486467181 528768675 594570999 646272825 697974651 810778635 990951665 1163291085 1351297725 1459401543 1586306025 1783712997 1938818475 2432335905 2972854995 3489873255 4053893175 4954758325 5351138991 5816455425 7297007715 8918564985 12161679525 14864274975 16053416973 17449366275 26755694955 36485038575 44592824925 80267084865 133778474775 401335424325