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6438146340 = 2235313461369
BaseRepresentation
bin1011111111011111…
…00101000100100100
3121121200111201110110
411333233211010210
5101141131140330
62542503453020
7315354224643
oct57757450444
917550451413
106438146340
1128041906aa
1212b8157170
137b7aa5262
144510a335a
1527a333db0
hex17fbe5124

6438146340 has 48 divisors (see below), whose sum is σ = 18608325120. Its totient is φ = 1661456640.

The previous prime is 6438146329. The next prime is 6438146357. The reversal of 6438146340 is 436418346.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1728825 + ... + 1732544.

It is an arithmetic number, because the mean of its divisors is an integer number (387673440).

Almost surely, 26438146340 is an apocalyptic number.

6438146340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6438146340 is an abundant number, since it is smaller than the sum of its proper divisors (12170178780).

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

6438146340 is a wasteful number, since it uses less digits than its factorization.

6438146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461412 (or 3461410 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 6438146340 is about 80238.0604202270. The cubic root of 6438146340 is about 1860.3169710701.

The spelling of 6438146340 in words is "six billion, four hundred thirty-eight million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3461369 6922738 10384107 13845476 17306845 20768214 34613690 41536428 51920535 69227380 103841070 107302439 207682140 214604878 321907317 429209756 536512195 643814634 1073024390 1287629268 1609536585 2146048780 3219073170 6438146340