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300412240240440 = 23352503435335337
BaseRepresentation
bin100010001001110010010110…
…0110111011001111100111000
31110101200010111112200121010110
41010103210230313121330320
5303333423232000143230
62542531251123144320
7120164032235631216
oct10423445467317470
91411603445617113
10300412240240440
11877a212a980709
1229839aa35150a0
13cb819a28b1083
14542805c4b1cb6
1524ae629b304b0
hex111392cdd9f38

300412240240440 has 32 divisors (see below), whose sum is σ = 901236720721680. Its totient is φ = 80109930730752.

The previous prime is 300412240240433. The next prime is 300412240240451. The reversal of 300412240240440 is 44042042214003.

It is a super-2 number, since 2×3004122402404402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 300412240240398 and 300412240240407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251717667549 + ... + 1251717667788.

Almost surely, 2300412240240440 is an apocalyptic number.

300412240240440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300412240240440 is an abundant number, since it is smaller than the sum of its proper divisors (600824480481240).

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

300412240240440 is a wasteful number, since it uses less digits than its factorization.

300412240240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503435335351 (or 2503435335347 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 300412240240440 its reverse (44042042214003), we get a palindrome (344454282454443).

The spelling of 300412240240440 in words is "three hundred trillion, four hundred twelve billion, two hundred forty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2503435335337 5006870670674 7510306006011 10013741341348 12517176676685 15020612012022 20027482682696 25034353353370 30041224024044 37551530030055 50068706706740 60082448048088 75103060060110 100137413413480 150206120120220 300412240240440