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14011213125 = 354721311731
BaseRepresentation
bin11010000110010001…
…00010010101000101
31100011110120101002110
431003020202111011
5212143332310000
610234152531233
71004132226600
oct150310422505
940143511073
1014011213125
115a3aa67888
1228703b0b19
131423a36970
1496cb95337
155700ea850
hex343222545

14011213125 has 120 divisors (see below), whose sum is σ = 29247312864. Its totient is φ = 5911920000.

The previous prime is 14011213103. The next prime is 14011213213. The reversal of 14011213125 is 52131211041.

It is not a de Polignac number, because 14011213125 - 210 = 14011212101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1188510 + ... + 1200240.

Almost surely, 214011213125 is an apocalyptic number.

14011213125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14011213125 is an abundant number, since it is smaller than the sum of its proper divisors (15236099739).

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

14011213125 is a wasteful number, since it uses less digits than its factorization.

14011213125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11781 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 14011213125 its reverse (52131211041), we get a palindrome (66142424166).

The spelling of 14011213125 in words is "fourteen billion, eleven million, two hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 125 147 175 195 245 273 325 375 455 525 625 637 735 875 975 1225 1365 1625 1875 1911 2275 2625 3185 3675 4375 4875 6125 6825 8125 9555 11375 11731 13125 15925 18375 24375 30625 34125 35193 47775 56875 58655 79625 82117 91875 152503 170625 175965 238875 246351 293275 398125 410585 457509 574819 762515 879825 1067521 1194375 1231755 1466375 1724457 2052925 2287545 2874095 3202563 3812575 4399125 5337605 6158775 7331875 7472647 8622285 10264625 11437725 14370475 16012815 19062875 21995625 22417941 26688025 30793875 37363235 43111425 51323125 57188625 71852375 80064075 95314375 112089705 133440125 153969375 186816175 215557125 285943125 359261875 400320375 560448525 667200625 934080875 1077785625 2001601875 2802242625 4670404375 14011213125