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144472393800 = 233552721931103
BaseRepresentation
bin1000011010001100111…
…0011100100001001000
3111210220112022000200000
42012203032130201020
54331334413100200
6150211504443000
713303106041200
oct2064316344110
9453815260600
10144472393800
11562a7999869
1223bbb619460
1310815321267
146dc75cd400
153b586aa300
hex21a339c848

144472393800 has 1728 divisors, whose sum is σ = 642158899200. Its totient is φ = 29981145600.

The previous prime is 144472393771. The next prime is 144472393811. The reversal of 144472393800 is 8393274441.

144472393800 is a `hidden beast` number, since 14 + 4 + 472 + 3 + 93 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1402644549 + ... + 1402644651.

Almost surely, 2144472393800 is an apocalyptic number.

144472393800 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 144472393800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321079449600).

144472393800 is an abundant number, since it is smaller than the sum of its proper divisors (497686505400).

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

144472393800 is a wasteful number, since it uses less digits than its factorization.

144472393800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 144472393800 in words is "one hundred forty-four billion, four hundred seventy-two million, three hundred ninety-three thousand, eight hundred".