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12141300540 = 22351451139459
BaseRepresentation
bin10110100111010110…
…11000101100111100
31011100010222222020210
423103223120230330
5144331133104130
65324434112420
7606605231445
oct132353305474
934303888223
1012141300540
1151704a1886
12242a11b710
1311b6508b05
148326c02cc
154b0d825b0
hex2d3ad8b3c

12141300540 has 48 divisors (see below), whose sum is σ = 34019314560. Its totient is φ = 3235425600.

The previous prime is 12141300529. The next prime is 12141300553. The reversal of 12141300540 is 4500314121.

It is a super-2 number, since 2×121413005402 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 17331 + ... + 156789.

It is an arithmetic number, because the mean of its divisors is an integer number (708735720).

Almost surely, 212141300540 is an apocalyptic number.

12141300540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141300540 is an abundant number, since it is smaller than the sum of its proper divisors (21878014020).

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

12141300540 is a wasteful number, since it uses less digits than its factorization.

12141300540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140922 (or 140920 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12141300540 its reverse (4500314121), we get a palindrome (16641614661).

The spelling of 12141300540 in words is "twelve billion, one hundred forty-one million, three hundred thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1451 2902 4353 5804 7255 8706 14510 17412 21765 29020 43530 87060 139459 278918 418377 557836 697295 836754 1394590 1673508 2091885 2789180 4183770 8367540 202355009 404710018 607065027 809420036 1011775045 1214130054 2023550090 2428260108 3035325135 4047100180 6070650270 12141300540