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144855466100 = 225219461165379
BaseRepresentation
bin1000011011101000001…
…1110000000001110100
3111211220020010010001222
42012322003300001310
54333130444403400
6150313511205512
713315440101102
oct2067203600164
9454806103058
10144855466100
1156484152744
12240a7976898
13108767b6967
147022428c72
153b7c128185
hex21ba0f0074

144855466100 has 72 divisors (see below), whose sum is σ = 331600130400. Its totient is φ = 54773193600.

The previous prime is 144855466087. The next prime is 144855466139. The reversal of 144855466100 is 1664558441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793211 + ... + 958589.

Almost surely, 2144855466100 is an apocalyptic number.

144855466100 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 144855466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165800065200).

144855466100 is an abundant number, since it is smaller than the sum of its proper divisors (186744664300).

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

144855466100 is a wasteful number, since it uses less digits than its factorization.

144855466100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165873 (or 165866 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 144855466100 in words is "one hundred forty-four billion, eight hundred fifty-five million, four hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 461 475 922 950 1844 1900 2305 4610 8759 9220 11525 17518 23050 35036 43795 46100 87590 165379 175180 218975 330758 437950 661516 826895 875900 1653790 3142201 3307580 4134475 6284402 8268950 12568804 15711005 16537900 31422010 62844020 76239719 78555025 152479438 157110050 304958876 314220100 381198595 762397190 1448554661 1524794380 1905992975 2897109322 3811985950 5794218644 7242773305 7623971900 14485546610 28971093220 36213866525 72427733050 144855466100