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144787220321814 = 23271149104923189
BaseRepresentation
bin100000111010111011100110…
…110101011101011000010110
3200222122112010022212001202200
4200322323212311131120112
5122434143211400244224
61231534155240345330
742332350202443230
oct4072734665353026
9628575108761680
10144787220321814
1142151a083051a4
12142a4897175246
1362a34b7934b35
1427a7a4b5b9250
1511b13ab8575c9
hex83aee6d5d616

144787220321814 has 24 divisors (see below), whose sum is σ = 358520736035280. Its totient is φ = 41367777234768.

The previous prime is 144787220321797. The next prime is 144787220321911. The reversal of 144787220321814 is 418123022787441.

144787220321814 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 87 + 220 + 321 + 8 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574552461469 + ... + 574552461720.

It is an arithmetic number, because the mean of its divisors is an integer number (14938364001470).

Almost surely, 2144787220321814 is an apocalyptic number.

144787220321814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144787220321814 is an abundant number, since it is smaller than the sum of its proper divisors (213733515713466).

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

144787220321814 is a wasteful number, since it uses less digits than its factorization.

144787220321814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149104923204 (or 1149104923201 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 144787220321814 in words is "one hundred forty-four trillion, seven hundred eighty-seven billion, two hundred twenty million, three hundred twenty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1149104923189 2298209846378 3447314769567 6894629539134 8043734462323 10341944308701 16087468924646 20683888617402 24131203386969 48262406773938 72393610160907 144787220321814