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1412845440 = 27354871511
BaseRepresentation
bin101010000110110…
…0100111110000000
310122110111222120220
41110031210332000
510343142023230
6352110103040
750003662626
oct12415447600
93573458526
101412845440
11665572766
123351aaa80
13196928526
14d58d7516
1584080d10
hex54364f80

1412845440 has 128 divisors (see below), whose sum is σ = 4515678720. Its totient is φ = 375736320.

The previous prime is 1412845439. The next prime is 1412845451. The reversal of 1412845440 is 445482141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14128454402 = 3992264474657587200, which contains 22 as substring.

It is a congruent number.

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, 934285 + ... + 935795.

It is an arithmetic number, because the mean of its divisors is an integer number (35278740).

Almost surely, 21412845440 is an apocalyptic number.

1412845440 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 1412845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257839360).

1412845440 is an abundant number, since it is smaller than the sum of its proper divisors (3102833280).

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

1412845440 is a wasteful number, since it uses less digits than its factorization.

1412845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 1412845440 is about 37587.8363303875. The cubic root of 1412845440 is about 1122.0999717099.

The spelling of 1412845440 in words is "one billion, four hundred twelve million, eight hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 487 640 960 974 1461 1511 1920 1948 2435 2922 3022 3896 4533 4870 5844 6044 7305 7555 7792 9066 9740 11688 12088 14610 15110 15584 18132 19480 22665 23376 24176 29220 30220 31168 36264 38960 45330 46752 48352 58440 60440 62336 72528 77920 90660 93504 96704 116880 120880 145056 155840 181320 187008 193408 233760 241760 290112 311680 362640 467520 483520 580224 725280 735857 935040 967040 1450560 1471714 2207571 2901120 2943428 3679285 4415142 5886856 7358570 8830284 11037855 11773712 14717140 17660568 22075710 23547424 29434280 35321136 44151420 47094848 58868560 70642272 88302840 94189696 117737120 141284544 176605680 235474240 282569088 353211360 470948480 706422720 1412845440