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1383047607424 = 27744500233
BaseRepresentation
bin10100001000000100000…
…011111011010010000000
311220012212222002000200011
4110020010003323102000
5140124440141414144
62535210250034304
7201631131460000
oct24100403732200
94805788060604
101383047607424
1149360235589a
121a4063a18994
13a0561741b52
144ad22da0000
1525e99c3da34
hex142040fb480

1383047607424 has 80 divisors (see below), whose sum is σ = 3214314635670. Its totient is φ = 592734557184.

The previous prime is 1383047607391. The next prime is 1383047607451. The reversal of 1383047607424 is 4247067403831.

It can be written as a sum of positive squares in only one way, i.e., 1363682101824 + 19365505600 = 1167768^2 + 139160^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1942789 + ... + 2557444.

Almost surely, 21383047607424 is an apocalyptic number.

1383047607424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1383047607424 is an abundant number, since it is smaller than the sum of its proper divisors (1831267028246).

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

1383047607424 is an frugal number, since it uses more digits than its factorization.

1383047607424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500275 (or 4500242 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 1383047607424 in words is "one trillion, three hundred eighty-three billion, forty-seven million, six hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2401 2744 3136 4802 5488 6272 9604 10976 19208 21952 38416 43904 76832 153664 307328 4500233 9000466 18000932 31501631 36001864 63003262 72003728 126006524 144007456 220511417 252013048 288014912 441022834 504026096 576029824 882045668 1008052192 1543579919 1764091336 2016104384 3087159838 3528182672 4032208768 6174319676 7056365344 10805059433 12348639352 14112730688 21610118866 24697278704 28225461376 43220237732 49394557408 86440475464 98789114816 172880950928 197578229632 345761901856 691523803712 1383047607424