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432003144130020 = 223356531225123771
BaseRepresentation
bin110001000111001111001000…
…1111100101001110111100100
32002122121002121220001002011000
41202032132101330221313210
5423110414414344130040
64130443301000513300
7156665124430443501
oct14216362174516744
92078532556032130
10432003144130020
111157165606209a1
124055112aa7b830
131570894c72aa18
1478970c6c884a8
1534e25d6e49130
hex188e791f29de4

432003144130020 has 96 divisors (see below), whose sum is σ = 1346067990771840. Its totient is φ = 115024420517760.

The previous prime is 432003144129989. The next prime is 432003144130037. The reversal of 432003144130020 is 20031441300234.

432003144130020 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 0 + 314 + 41 + 300 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612209266 + ... + 612914505.

It is an arithmetic number, because the mean of its divisors is an integer number (14021541570540).

Almost surely, 2432003144130020 is an apocalyptic number.

It is an amenable number.

432003144130020 is an abundant number, since it is smaller than the sum of its proper divisors (914064846641820).

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

432003144130020 is a wasteful number, since it uses less digits than its factorization.

432003144130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225124442 (or 1225124434 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 432003144130020 its reverse (20031441300234), we get a palindrome (452034585430254).

The spelling of 432003144130020 in words is "four hundred thirty-two trillion, three billion, one hundred forty-four million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 653 1306 1959 2612 3265 3918 5877 6530 7836 9795 11754 13060 17631 19590 23508 29385 35262 39180 58770 70524 88155 117540 176310 352620 1225123771 2450247542 3675371313 4900495084 6125618855 7350742626 11026113939 12251237710 14701485252 18376856565 22052227878 24502475420 33078341817 36753713130 44104455756 55130569695 66156683634 73507426260 110261139390 132313367268 165391709085 220522278780 330783418170 661566836340 800005822463 1600011644926 2400017467389 3200023289852 4000029112315 4800034934778 7200052402167 8000058224630 9600069869556 12000087336945 14400104804334 16000116449260 21600157206501 24000174673890 28800209608668 36000262010835 43200314413002 48000349347780 72000524021670 86400628826004 108000786032505 144001048043340 216001572065010 432003144130020