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6431273940 = 22357134128729
BaseRepresentation
bin1011111110101010…
…10111001111010100
3121121012120120022010
411333111113033110
5101132401231230
62542100304220
7315241632540
oct57725271724
917535516263
106431273940
112800317333
1212b59a2070
137b653a150
144501d4a20
152799279b0
hex17f5573d4

6431273940 has 192 divisors, whose sum is σ = 22704514560. Its totient is φ = 1323786240.

The previous prime is 6431273929. The next prime is 6431273941. The reversal of 6431273940 is 493721346.

It is a super-2 number, since 2×64312739402 = 82722568982646247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6431273941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209496 + ... + 238224.

It is an arithmetic number, because the mean of its divisors is an integer number (118252680).

Almost surely, 26431273940 is an apocalyptic number.

6431273940 is a gapful number since it is divisible by the number (60) 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 6431273940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352257280).

6431273940 is an abundant number, since it is smaller than the sum of its proper divisors (16273240620).

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

6431273940 is a wasteful number, since it uses less digits than its factorization.

6431273940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28802 (or 28800 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 6431273940 is about 80195.2239226252. The cubic root of 6431273940 is about 1859.6548035539.

The spelling of 6431273940 in words is "six billion, four hundred thirty-one million, two hundred seventy-three thousand, nine hundred forty".