Search a number
-
+
1024123041432 = 233325633184969
BaseRepresentation
bin11101110011100100111…
…11010111011010011000
310121220102220011220022000
432321302133113122120
5113234400444311212
62102250423001000
7133663503135621
oct16716237273230
93556386156260
101024123041432
11365367837a77
12146594899160
1375760c1525a
14377d4150a48
151b98e45e1dc
hexee727d7698

1024123041432 has 64 divisors (see below), whose sum is σ = 2844912588000. Its totient is φ = 341359183872.

The previous prime is 1024123041427. The next prime is 1024123041449. The reversal of 1024123041432 is 2341403214201.

1024123041432 is a `hidden beast` number, since 1 + 0 + 241 + 2 + 3 + 0 + 414 + 3 + 2 = 666.

It is a super-2 number, since 2×10241230414322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1024123041396 and 1024123041405.

It is a congruent number.

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, 5444244 + ... + 5629212.

Almost surely, 21024123041432 is an apocalyptic number.

1024123041432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024123041432 is an abundant number, since it is smaller than the sum of its proper divisors (1820789546568).

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

1024123041432 is a wasteful number, since it uses less digits than its factorization.

1024123041432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210617 (or 210607 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1024123041432 its reverse (2341403214201), we get a palindrome (3365526255633).

The spelling of 1024123041432 in words is "one trillion, twenty-four billion, one hundred twenty-three million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 25633 51266 76899 102532 153798 184969 205064 230697 307596 369938 461394 554907 615192 692091 739876 922788 1109814 1384182 1479752 1664721 1845576 2219628 2768364 3329442 4439256 4994163 5536728 6658884 9988326 13317768 19976652 39953304 4741310377 9482620754 14223931131 18965241508 28447862262 37930483016 42671793393 56895724524 85343586786 113791449048 128015380179 170687173572 256030760358 341374347144 512061520716 1024123041432