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14015289680 = 2457219118719
BaseRepresentation
bin11010000110110000…
…00101100101010000
31100011202020111001222
431003120011211100
5212200403232210
610234420144212
71004211665600
oct150330054520
940152214058
1014015289680
115a422a1637
122871838068
131424833322
1496d536c00
15570653655
hex343605950

14015289680 has 120 divisors (see below), whose sum is σ = 38106132480. Its totient is φ = 4779828480.

The previous prime is 14015289661. The next prime is 14015289721. The reversal of 14015289680 is 8698251041.

It is a super-5 number, since 5×140152896805 (a number of 52 digits) contains 55555 as substring.

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 23 ways as a sum of consecutive naturals, for example, 739361 + ... + 758079.

It is an arithmetic number, because the mean of its divisors is an integer number (317551104).

Almost surely, 214015289680 is an apocalyptic number.

14015289680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14015289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053066240).

14015289680 is an abundant number, since it is smaller than the sum of its proper divisors (24090842800).

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

14015289680 is a wasteful number, since it uses less digits than its factorization.

14015289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18937 (or 18924 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 14015289680 in words is "fourteen billion, fifteen million, two hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 191 196 245 280 382 392 490 560 764 784 955 980 1337 1528 1910 1960 2674 3056 3820 3920 5348 6685 7640 9359 10696 13370 15280 18718 18719 21392 26740 37436 37438 46795 53480 74872 74876 93590 93595 106960 131033 149744 149752 187180 187190 262066 299504 374360 374380 524132 655165 748720 748760 917231 1048264 1310330 1497520 1834462 2096528 2620660 3575329 3668924 4586155 5241320 7150658 7337848 9172310 10482640 14301316 14675696 17876645 18344620 25027303 28602632 35753290 36689240 50054606 57205264 71506580 73378480 100109212 125136515 143013160 175191121 200218424 250273030 286026320 350382242 400436848 500546060 700764484 875955605 1001092120 1401528968 1751911210 2002184240 2803057936 3503822420 7007644840 14015289680