Search a number
-
+
1428573001581 = 3211314153214213
BaseRepresentation
bin10100110010011101100…
…101100001011101101101
312001120101201010200000200
4110302131211201131231
5141401204142022311
63012135525144113
7205132241105445
oct24623545413555
95046351120020
101428573001581
11500944242290
121b0a4a25b039
13a49384597bb
144d201315125
152726185e556
hex14c9d96176d

1428573001581 has 96 divisors (see below), whose sum is σ = 2425300061184. Its totient is φ = 802009728000.

The previous prime is 1428573001573. The next prime is 1428573001631. The reversal of 1428573001581 is 1851003758241.

1428573001581 is a `hidden beast` number, since 1 + 4 + 28 + 573 + 0 + 0 + 1 + 58 + 1 = 666.

It is not a de Polignac number, because 1428573001581 - 23 = 1428573001573 is a prime.

It is a super-4 number, since 4×14285730015814 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428573001511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6561831 + ... + 6776043.

It is an arithmetic number, because the mean of its divisors is an integer number (25263542304).

Almost surely, 21428573001581 is an apocalyptic number.

1428573001581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1428573001581 is a deficient number, since it is larger than the sum of its proper divisors (996727059603).

1428573001581 is a wasteful number, since it uses less digits than its factorization.

1428573001581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214355 (or 214352 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1428573001581 in words is "one trillion, four hundred twenty-eight billion, five hundred seventy-three million, one thousand, five hundred eighty-one".

Divisors: 1 3 9 11 31 33 41 53 93 99 123 159 279 341 369 451 477 583 1023 1271 1353 1643 1749 2173 3069 3813 4059 4929 5247 6519 11439 13981 14787 18073 19557 23903 41943 54219 67363 71709 125829 162657 202089 214213 215127 606267 642639 740993 1927917 2222979 2356343 6640603 6668937 7069029 8782733 11353289 19921809 21207087 26348199 34059867 59765427 73046633 79044597 96610063 102179601 124886179 219139899 272264723 289830189 351951959 374658537 465484849 657419697 816794169 869490567 1055855877 1123975611 1396454547 2450382507 2994911953 3167567631 3871471549 4189363641 5120333339 8984735859 11614414647 14430030319 15361000017 26954207577 34843243941 43290090957 46083000051 129870272871 158730333509 476191000527 1428573001581