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1001414324430 = 232513855909679
BaseRepresentation
bin11101001001010001111…
…00011111000011001110
310112201211021201112212100
432210220330133003032
5112401344031340210
62044013212215530
7132230660211612
oct16445074370316
93481737645770
101001414324430
11356774308863
121420b776a5a6
13735822c12c0
143667c207342
151b0b09da5c0
hexe928f1f0ce

1001414324430 has 48 divisors (see below), whose sum is σ = 2803960111680. Its totient is φ = 246501987264.

The previous prime is 1001414324399. The next prime is 1001414324513. The reversal of 1001414324430 is 344234141001.

1001414324430 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 414 + 3 + 244 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1001414324394 and 1001414324403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427953670 + ... + 427956009.

It is an arithmetic number, because the mean of its divisors is an integer number (58415835660).

Almost surely, 21001414324430 is an apocalyptic number.

1001414324430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001414324430 is an abundant number, since it is smaller than the sum of its proper divisors (1802545787250).

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

1001414324430 is a wasteful number, since it uses less digits than its factorization.

1001414324430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855909705 (or 855909702 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1001414324430 its reverse (344234141001), we get a palindrome (1345648465431).

The spelling of 1001414324430 in words is "one trillion, one billion, four hundred fourteen million, three hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 855909679 1711819358 2567729037 4279548395 5135458074 7703187111 8559096790 11126825827 12838645185 15406374222 22253651654 25677290370 33380477481 38515935555 55634129135 66760954962 77031871110 100141432443 111268258270 166902387405 200282864886 333804774810 500707162215 1001414324430