Search a number
-
+
1443004013632 = 26477143915391
BaseRepresentation
bin10100111111111001101…
…111011101110001000000
312002221122102122000222111
4110333321233131301000
5142120233011414012
63022523515545104
7206152661511046
oct24777157356100
95087572560874
101443004013632
11506a7a168225
121b37b715b194
13a60c814779c
144dbadb46396
152780872eba7
hex14ff9bddc40

1443004013632 has 112 divisors (see below), whose sum is σ = 2972522741760. Its totient is φ = 694574092800.

The previous prime is 1443004013623. The next prime is 1443004013653. The reversal of 1443004013632 is 2363104003441.

It is a super-2 number, since 2×14430040136322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1443004013594 and 1443004013603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93748657 + ... + 93764047.

Almost surely, 21443004013632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1443004013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486261370880).

1443004013632 is an abundant number, since it is smaller than the sum of its proper divisors (1529518728128).

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

1443004013632 is a wasteful number, since it uses less digits than its factorization.

1443004013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15960 (or 15950 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 1443004013632 in words is "one trillion, four hundred forty-three billion, four million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 71 94 142 188 284 376 439 568 752 878 1136 1504 1756 2272 3008 3337 3512 4544 6674 7024 13348 14048 15391 20633 26696 28096 30782 31169 41266 53392 61564 62338 82532 106784 123128 124676 165064 213568 246256 249352 330128 492512 498704 660256 723377 985024 997408 1092761 1320512 1446754 1464943 1994816 2185522 2893508 2929886 4371044 5787016 5859772 6756649 8742088 11574032 11719544 13513298 17484176 23148064 23439088 27026596 34968352 46296128 46878176 51359767 54053192 69936704 93756352 102719534 108106384 205439068 216212768 317562503 410878136 432425536 479722079 635125006 821756272 959444158 1270250012 1643512544 1918888316 2540500024 3287025088 3837776632 5081000048 7675553264 10162000096 15351106528 20324000192 22546937713 30702213056 45093875426 90187750852 180375501704 360751003408 721502006816 1443004013632