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4200431240 = 235857122533
BaseRepresentation
bin1111101001011101…
…0111111010001000
3101211201212000102102
43322113113322020
532100302244430
61532445452532
7206043035135
oct37227277210
911751760372
104200431240
111866041185
12992871148
1351c2ca095
142bbc0958c
15198b67345
hexfa5d7e88

4200431240 has 32 divisors (see below), whose sum is σ = 9462075480. Its totient is φ = 1678198272.

The previous prime is 4200431237. The next prime is 4200431267. The reversal of 4200431240 is 421340024.

It can be written as a sum of positive squares in 4 ways, for example, as 3718804324 + 481626916 = 60982^2 + 21946^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26987 + ... + 95546.

Almost surely, 24200431240 is an apocalyptic number.

4200431240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200431240 is an abundant number, since it is smaller than the sum of its proper divisors (5261644240).

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

4200431240 is a wasteful number, since it uses less digits than its factorization.

4200431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123401 (or 123397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4200431240 is about 64810.7339875117. The cubic root of 4200431240 is about 1613.4838643704.

Adding to 4200431240 its reverse (421340024), we get a palindrome (4621771264).

The spelling of 4200431240 in words is "four billion, two hundred million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 857 1714 3428 4285 6856 8570 17140 34280 122533 245066 490132 612665 980264 1225330 2450660 4901320 105010781 210021562 420043124 525053905 840086248 1050107810 2100215620 4200431240