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1446074887972 = 2211213229827541
BaseRepresentation
bin10101000010110000110…
…001111010111100100100
312010020120110000121122011
4111002300301322330210
5142143030132403342
63024152335244004
7206322040511341
oct25026061727444
95106513017564
101446074887972
11508305636600
121b4313679604
13a64974157b0
144ddc191b7c8
1527938123717
hex150b0c7af24

1446074887972 has 36 divisors (see below), whose sum is σ = 2995572182428. Its totient is φ = 606744705600.

The previous prime is 1446074887969. The next prime is 1446074887981. The reversal of 1446074887972 is 2797884706441.

It can be written as a sum of positive squares in 2 ways, for example, as 913618635556 + 532456252416 = 955834^2 + 729696^2 .

It is a super-4 number, since 4×14460748879724 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1446074887898 and 1446074887907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114907479 + ... + 114920062.

Almost surely, 21446074887972 is an apocalyptic number.

It is an amenable number.

1446074887972 is an abundant number, since it is smaller than the sum of its proper divisors (1549497294456).

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

1446074887972 is a wasteful number, since it uses less digits than its factorization.

1446074887972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229827580 (or 229827567 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 67.

The spelling of 1446074887972 in words is "one trillion, four hundred forty-six billion, seventy-four million, eight hundred eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1573 3146 6292 229827541 459655082 919310164 2528102951 2987758033 5056205902 5975516066 10112411804 11951032132 27809132461 32865338363 55618264922 65730676726 111236529844 131461353452 361518721993 723037443986 1446074887972