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431043140000 = 2554112178117
BaseRepresentation
bin1100100010111000010…
…11000101100110100000
31112012121010201021102202
412101130023011212200
524030234020440000
6530003554232332
743066436144234
oct6213413054640
91465533637382
10431043140000
11156893684a00
126b6575856a8
1331854b66435
1416c10d885c4
15b32bdc5dd5
hex645c2c59a0

431043140000 has 180 divisors, whose sum is σ = 1165604013882. Its totient is φ = 156742080000.

The previous prime is 431043139951. The next prime is 431043140009. The reversal of 431043140000 is 41340134.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 17856442384 + 413186697616 = 133628^2 + 642796^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (431043140009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2330942 + ... + 2509058.

Almost surely, 2431043140000 is an apocalyptic number.

431043140000 is a gapful number since it is divisible by the number (40) 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 431043140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582802006941).

431043140000 is an abundant number, since it is smaller than the sum of its proper divisors (734560873882).

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

431043140000 is a wasteful number, since it uses less digits than its factorization.

431043140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178169 (or 178135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 431043140000 its reverse (41340134), we get a palindrome (431084480134).

The spelling of 431043140000 in words is "four hundred thirty-one billion, forty-three million, one hundred forty thousand".