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145221116460 = 22357345764563
BaseRepresentation
bin1000011100111111011…
…0100110001000101100
3111212211201011002001220
42013033312212020230
54334403101211320
6150414052303340
713330500060120
oct2071766461054
9455751132056
10145221116460
1156651597222
122418a311b50
131090448c514
147058c0b580
153b9e2a3e40
hex21cfda622c

145221116460 has 48 divisors (see below), whose sum is σ = 464707574016. Its totient is φ = 33193397952.

The previous prime is 145221116459. The next prime is 145221116461. The reversal of 145221116460 is 64611122541.

145221116460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145221116459) and next prime (145221116461).

It is not an unprimeable number, because it can be changed into a prime (145221116461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172881862 + ... + 172882701.

It is an arithmetic number, because the mean of its divisors is an integer number (9681407792).

Almost surely, 2145221116460 is an apocalyptic number.

145221116460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145221116460 is an abundant number, since it is smaller than the sum of its proper divisors (319486457556).

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

145221116460 is a wasteful number, since it uses less digits than its factorization.

145221116460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345764582 (or 345764580 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 145221116460 in words is "one hundred forty-five billion, two hundred twenty-one million, one hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 345764563 691529126 1037293689 1383058252 1728822815 2074587378 2420351941 3457645630 4149174756 4840703882 5186468445 6915291260 7261055823 9681407764 10372936890 12101759705 14522111646 20745873780 24203519410 29044223292 36305279115 48407038820 72610558230 145221116460