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1412919840 = 25353318893
BaseRepresentation
bin101010000110111…
…0111001000100000
310122110122202122110
41110031313020200
510343201413330
6352111435320
750004422553
oct12415671040
93573582573
101412919840
11665613652
12335225b40
13196953357
14d591669a
1584097db0
hex54377220

1412919840 has 96 divisors (see below), whose sum is σ = 4464645696. Its totient is φ = 375598080.

The previous prime is 1412919821. The next prime is 1412919883. The reversal of 1412919840 is 489192141.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 154434 + ... + 163326.

It is an arithmetic number, because the mean of its divisors is an integer number (46506726).

Almost surely, 21412919840 is an apocalyptic number.

1412919840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232322848).

1412919840 is an abundant number, since it is smaller than the sum of its proper divisors (3051725856).

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

1412919840 is a wasteful number, since it uses less digits than its factorization.

1412919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1412919840 is about 37588.8259992248. The cubic root of 1412919840 is about 1122.1196678423.

The spelling of 1412919840 in words is "one billion, four hundred twelve million, nine hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 331 480 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 8893 9930 10592 13240 15888 17786 19860 26480 26679 31776 35572 39720 44465 52960 53358 71144 79440 88930 106716 133395 142288 158880 177860 213432 266790 284576 355720 426864 533580 711440 853728 1067160 1422880 2134320 2943583 4268640 5887166 8830749 11774332 14717915 17661498 23548664 29435830 35322996 44153745 47097328 58871660 70645992 88307490 94194656 117743320 141291984 176614980 235486640 282583968 353229960 470973280 706459920 1412919840