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1446005141364 = 223719906018259
BaseRepresentation
bin10101000010101100100…
…111110110111101110100
312010020101120210010021110
4111002230213312331310
5142142404304010424
63024141404315020
7206320232621430
oct25025447667564
95106346703243
101446005141364
1150827a228983
121b42b4242a70
13a6485b35404
144ddb65639c0
1527931e47c29
hex150ac9f6f74

1446005141364 has 48 divisors (see below), whose sum is σ = 4058961804800. Its totient is φ = 391399887456.

The previous prime is 1446005141341. The next prime is 1446005141389. The reversal of 1446005141364 is 4631415006441.

It is a super-2 number, since 2×14460051413642 (a number of 25 digits) 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453007534 + ... + 453010725.

Almost surely, 21446005141364 is an apocalyptic number.

1446005141364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1446005141364 is an abundant number, since it is smaller than the sum of its proper divisors (2612956663436).

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

1446005141364 is a wasteful number, since it uses less digits than its factorization.

1446005141364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906018292 (or 906018290 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 1446005141364 in words is "one trillion, four hundred forty-six billion, five million, one hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 906018259 1812036518 2718054777 3624073036 5436109554 6342127813 10872219108 12684255626 17214346921 19026383439 25368511252 34428693842 38052766878 51643040763 68857387684 76105533756 103286081526 120500428447 206572163052 241000856894 361501285341 482001713788 723002570682 1446005141364