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14220763977420 = 2232571121317534093
BaseRepresentation
bin1100111011110000011110…
…0101011101011011001100
31212100111021111021222111200
43032330013211131123030
53330443111034234140
650124532341145500
72665262534243640
oct316740745353314
955314244258450
1014220763977420
114592aa0592400
1217180b50bb290
137c2020cca5a0
143724080a4c20
15199dac1ec030
hexcef0795d6cc

14220763977420 has 864 divisors, whose sum is σ = 58403615577216. Its totient is φ = 2725436989440.

The previous prime is 14220763977403. The next prime is 14220763977461. The reversal of 14220763977420 is 2477936702241.

14220763977420 is a `hidden beast` number, since 1 + 4 + 2 + 207 + 6 + 3 + 9 + 7 + 7 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3474408894 + ... + 3474412986.

Almost surely, 214220763977420 is an apocalyptic number.

14220763977420 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 14220763977420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29201807788608).

14220763977420 is an abundant number, since it is smaller than the sum of its proper divisors (44182851599796).

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

14220763977420 is a wasteful number, since it uses less digits than its factorization.

14220763977420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 14220763977420 in words is "fourteen trillion, two hundred twenty billion, seven hundred sixty-three million, nine hundred seventy-seven thousand, four hundred twenty".