Search a number
-
+
335542132432 = 241317505118787
BaseRepresentation
bin1001110000111111101…
…11101001111011010000
31012002002111201102120101
410320133313221323100
520444142241214212
6414051304222144
733146022031603
oct4703767517320
91162074642511
10335542132432
1111a336871471
125504446a954
13258454699c0
141235165033a
158adcb2b157
hex4e1fde9ed0

335542132432 has 80 divisors (see below), whose sum is σ = 741491416512. Its totient is φ = 145719244800.

The previous prime is 335542132379. The next prime is 335542132439. The reversal of 335542132432 is 234231245533.

It is a super-3 number, since 3×3355421324323 (a number of 36 digits) contains 333 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 = 335542132391 and 335542132400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335542132439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17850943 + ... + 17869729.

Almost surely, 2335542132432 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 335542132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370745708256).

335542132432 is an abundant number, since it is smaller than the sum of its proper divisors (405949284080).

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

335542132432 is a wasteful number, since it uses less digits than its factorization.

335542132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23876 (or 23870 counting only the distinct ones).

The product of its digits is 259200, while the sum is 37.

Adding to 335542132432 its reverse (234231245533), we get a palindrome (569773377965).

The spelling of 335542132432 in words is "three hundred thirty-five billion, five hundred forty-two million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 5051 10102 18787 20204 37574 40408 65663 75148 80816 85867 131326 150296 171734 244231 262652 300592 319379 343468 488462 525304 638758 686936 976924 1050608 1116271 1277516 1373872 1953848 2232542 2555032 3907696 4151927 4465084 5110064 8303854 8930168 16607708 17860336 33215416 66430832 94893137 189786274 379572548 759145096 1233610781 1518290192 1613183329 2467221562 3226366658 4934443124 6452733316 9868886248 12905466632 19737772496 20971383277 25810933264 41942766554 83885533108 167771066216 335542132432