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6140461540 = 22517371573109
BaseRepresentation
bin1011011100000000…
…00000000111100100
3120211221100202200111
411232000000013210
5100033424232130
62453151222404
7305111030143
oct55600000744
916757322614
106140461540
112671148704
121234517a04
1376b2081c5
1442373375a
1525e13102a
hex16e0001e4

6140461540 has 96 divisors (see below), whose sum is σ = 14116364640. Its totient is φ = 2234179584.

The previous prime is 6140461529. The next prime is 6140461567. The reversal of 6140461540 is 451640416.

It can be written as a sum of positive squares in 16 ways, for example, as 804743424 + 5335718116 = 28368^2 + 73046^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973506 + ... + 1976614.

It is an arithmetic number, because the mean of its divisors is an integer number (147045465).

Almost surely, 26140461540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6140461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058182320).

6140461540 is an abundant number, since it is smaller than the sum of its proper divisors (7975903100).

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

6140461540 is a wasteful number, since it uses less digits than its factorization.

6140461540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6140461540 is about 78361.0971081952. The cubic root of 6140461540 is about 1831.1911124428.

The spelling of 6140461540 in words is "six billion, one hundred forty million, four hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 157 170 185 314 340 370 628 629 740 785 1258 1570 2516 2669 3109 3140 3145 5338 5809 6218 6290 10676 11618 12436 12580 13345 15545 23236 26690 29045 31090 52853 53380 58090 62180 98753 105706 115033 116180 197506 211412 230066 264265 395012 460132 488113 493765 528530 575165 976226 987530 1057060 1150330 1952452 1955561 1975060 2300660 2440565 3911122 4881130 7822244 8297921 9762260 9777805 16595842 18060181 19555610 33191684 36120362 39111220 41489605 72240724 82979210 90300905 165958420 180601810 307023077 361203620 614046154 1228092308 1535115385 3070230770 6140461540