Search a number
-
+
135023042430 = 23254767476423
BaseRepresentation
bin111110111000000000…
…0000001111101111110
3110220111222200020110100
41331300000001331332
54203011344324210
6142010112221530
712516665631633
oct1756000017576
9426458606410
10135023042430
1152298a95271
1222202b3a8a6
13c96a7405a3
14676c64818a
1537a3d1c5c0
hex1f70001f7e

135023042430 has 96 divisors (see below), whose sum is σ = 363881217024. Its totient is φ = 34714012608.

The previous prime is 135023042411. The next prime is 135023042471. The reversal of 135023042430 is 34240320531.

135023042430 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 230 + 424 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135023042394 and 135023042403.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 45199 + ... + 521621.

It is an arithmetic number, because the mean of its divisors is an integer number (3790429344).

Almost surely, 2135023042430 is an apocalyptic number.

135023042430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135023042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181940608512).

135023042430 is an abundant number, since it is smaller than the sum of its proper divisors (228858174594).

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

135023042430 is a wasteful number, since it uses less digits than its factorization.

135023042430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476550 (or 476547 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 135023042430 its reverse (34240320531), we get a palindrome (169263362961).

The spelling of 135023042430 in words is "one hundred thirty-five billion, twenty-three million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 67 90 94 134 141 201 235 282 335 402 423 470 603 670 705 846 1005 1206 1410 2010 2115 3015 3149 4230 6030 6298 9447 15745 18894 28341 31490 47235 56682 94470 141705 283410 476423 952846 1429269 2382115 2858538 4287807 4764230 7146345 8575614 14292690 21439035 22391881 31920341 42878070 44783762 63840682 67175643 95761023 111959405 134351286 159601705 191522046 201526929 223918810 287283069 319203410 335878215 403053858 478805115 574566138 671756430 957610230 1007634645 1436415345 1500256027 2015269290 2872830690 3000512054 4500768081 7501280135 9001536162 13502304243 15002560270 22503840405 27004608486 45007680810 67511521215 135023042430