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6141246432 = 253457139981
BaseRepresentation
bin1011011100000101…
…11111101111100000
3120211222211122100120
411232002333233200
5100034124341212
62453220120240
7305120506356
oct55602775740
916758748316
106141246432
112671634382
121234836080
1376b421539
144238997d6
1525e23888c
hex16e0bfbe0

6141246432 has 48 divisors (see below), whose sum is σ = 16156162512. Its totient is φ = 2042588160.

The previous prime is 6141246401. The next prime is 6141246469. The reversal of 6141246432 is 2346421416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6141246393 and 6141246402.

It is a congruent number.

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, 26119 + ... + 113862.

It is an arithmetic number, because the mean of its divisors is an integer number (336586719).

Almost surely, 26141246432 is an apocalyptic number.

It is an amenable number.

6141246432 is an abundant number, since it is smaller than the sum of its proper divisors (10014916080).

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

6141246432 is a wasteful number, since it uses less digits than its factorization.

6141246432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140451 (or 140443 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 6141246432 is about 78366.1051220488. The cubic root of 6141246432 is about 1831.2691318778.

Adding to 6141246432 its reverse (2346421416), we get a palindrome (8487667848).

The spelling of 6141246432 in words is "six billion, one hundred forty-one million, two hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 457 914 1371 1828 2742 3656 5484 7312 10968 14624 21936 43872 139981 279962 419943 559924 839886 1119848 1679772 2239696 3359544 4479392 6719088 13438176 63971317 127942634 191913951 255885268 383827902 511770536 767655804 1023541072 1535311608 2047082144 3070623216 6141246432