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143414400 = 2735214939
BaseRepresentation
bin10001000110001…
…01010010000000
3100222212012120110
420203011102000
5243203230100
622121511320
73361000533
oct1043052200
9328765513
10143414400
1173a543a8
1240042540
13239344bc
1415092a1a
15c8cd250
hex88c5480

143414400 has 96 divisors (see below), whose sum is σ = 472402800. Its totient is φ = 38241280.

The previous prime is 143414389. The next prime is 143414429. The reversal of 143414400 is 4414341.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2131 + ... + 17069.

Almost surely, 2143414400 is an apocalyptic number.

143414400 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 143414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236201400).

143414400 is an abundant number, since it is smaller than the sum of its proper divisors (328988400).

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

143414400 is a wasteful number, since it uses less digits than its factorization.

143414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966 (or 14949 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 143414400 is about 11975.5751427645. The cubic root of 143414400 is about 523.4368014099.

Adding to 143414400 its reverse (4414341), we get a palindrome (147828741).

The spelling of 143414400 in words is "one hundred forty-three million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 14939 29878 44817 59756 74695 89634 119512 149390 179268 224085 239024 298780 358536 373475 448170 478048 597560 717072 746950 896340 956096 1120425 1195120 1434144 1493900 1792680 1912192 2240850 2390240 2868288 2987800 3585360 4481700 4780480 5736576 5975600 7170720 8963400 9560960 11951200 14341440 17926800 23902400 28682880 35853600 47804800 71707200 143414400