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420248711040 = 2735218879537
BaseRepresentation
bin1100001110110001100…
…01100110111110000000
31111011201212002110122120
412013120301212332000
523341132132223130
6521020512204240
742235104050664
oct6073061467600
91434655073576
10420248711040
11152254494734
1269544539680
13308246c6a72
14164a950a8a4
15ade93e1910
hex61d8c66f80

420248711040 has 64 divisors (see below), whose sum is σ = 1339542772560. Its totient is φ = 112066322432.

The previous prime is 420248711011. The next prime is 420248711053. The reversal of 420248711040 is 40117842024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 420248710992 and 420248711010.

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, 109437849 + ... + 109441688.

Almost surely, 2420248711040 is an apocalyptic number.

420248711040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420248711040 is an abundant number, since it is smaller than the sum of its proper divisors (919294061520).

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

420248711040 is a wasteful number, since it uses less digits than its factorization.

420248711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218879559 (or 218879547 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 420248711040 in words is "four hundred twenty billion, two hundred forty-eight million, seven hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 218879537 437759074 656638611 875518148 1094397685 1313277222 1751036296 2188795370 2626554444 3283193055 3502072592 4377590740 5253108888 6566386110 7004145184 8755181480 10506217776 13132772220 14008290368 17510362960 21012435552 26265544440 28016580736 35020725920 42024871104 52531088880 70041451840 84049742208 105062177760 140082903680 210124355520 420248711040