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14114219520 = 29351837789
BaseRepresentation
bin11010010010100010…
…11110011000000000
31100102122101122022010
431021101132120000
5212401220011040
610252312412520
71006522613022
oct151121363000
940378348263
1014114219520
115a93122035
12289a9a7140
13143c1909ab
1497c72a012
15579195e80
hex34945e600

14114219520 has 80 divisors (see below), whose sum is σ = 45121420080. Its totient is φ = 3763789824.

The previous prime is 14114219507. The next prime is 14114219527. The reversal of 14114219520 is 2591241141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×141142195202 (a number of 21 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 not an unprimeable number, because it can be changed into a prime (14114219527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 911215 + ... + 926574.

It is an arithmetic number, because the mean of its divisors is an integer number (564017751).

Almost surely, 214114219520 is an apocalyptic number.

14114219520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14114219520 is an abundant number, since it is smaller than the sum of its proper divisors (31007200560).

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

14114219520 is an equidigital number, since it uses as much as digits as its factorization.

14114219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837815 (or 1837799 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 14114219520 in words is "fourteen billion, one hundred fourteen million, two hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 1837789 3675578 5513367 7351156 9188945 11026734 14702312 18377890 22053468 27566835 29404624 36755780 44106936 55133670 58809248 73511560 88213872 110267340 117618496 147023120 176427744 220534680 235236992 294046240 352855488 441069360 470473984 588092480 705710976 882138720 940947968 1176184960 1411421952 1764277440 2352369920 2822843904 3528554880 4704739840 7057109760 14114219520