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300120009984 = 2832130260421
BaseRepresentation
bin1000101111000001000…
…10111110110100000000
31001200122212202011111100
410113200202332310000
514404121210304414
6345512341214400
730453152664564
oct4274042766400
91050585664440
10300120009984
11106309a15603
124a1b9701400
13223bb95a232
14107510616a4
157c17eb7609
hex45e08bed00

300120009984 has 54 divisors (see below), whose sum is σ = 865319983346. Its totient is φ = 100040002560.

The previous prime is 300120009971. The next prime is 300120009989. The reversal of 300120009984 is 489900021003.

It can be written as a sum of positive squares in only one way, i.e., 297382627584 + 2737382400 = 545328^2 + 52320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300120009989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65127907 + ... + 65132514.

Almost surely, 2300120009984 is an apocalyptic number.

It is an amenable number.

300120009984 is an abundant number, since it is smaller than the sum of its proper divisors (565199973362).

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

300120009984 is a wasteful number, since it uses less digits than its factorization.

300120009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130260443 (or 130260426 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 300120009984 in words is "three hundred billion, one hundred twenty million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 130260421 260520842 390781263 521041684 781562526 1042083368 1172343789 1563125052 2084166736 2344687578 3126250104 4168333472 4689375156 6252500208 8336666944 9378750312 12505000416 16673333888 18757500624 25010000832 33346667776 37515001248 50020001664 75030002496 100040003328 150060004992 300120009984