Search a number
-
+
332121143313234 = 2321131115313522863
BaseRepresentation
bin100101110000011111111101…
…0110001010000001101010010
31121112221110201112000010201100
41023200333322301100031102
5322012433100142010414
63134210202534045230
7126645650353640442
oct11340777261201522
91545843645003640
10332121143313234
1196907871024650
12312bb376aa9816
1311341b740ca0a2
145c02a6b790122
15285e376b5a609
hex12e0ffac50352

332121143313234 has 96 divisors (see below), whose sum is σ = 788052389050368. Its totient is φ = 100253606796000.

The previous prime is 332121143313181. The next prime is 332121143313251. The reversal of 332121143313234 is 432313341121233.

332121143313234 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 211 + 433 + 1 + 3 + 2 + 3 + 4 = 666.

It is a super-2 number, since 2×3321211433132342 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92514487 + ... + 96037349.

It is an arithmetic number, because the mean of its divisors is an integer number (8208879052608).

Almost surely, 2332121143313234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332121143313234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394026194525184).

332121143313234 is an abundant number, since it is smaller than the sum of its proper divisors (455931245737134).

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

332121143313234 is a wasteful number, since it uses less digits than its factorization.

332121143313234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524724 (or 3524721 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 332121143313234 its reverse (432313341121233), we get a palindrome (764434484434467).

The spelling of 332121143313234 in words is "three hundred thirty-two trillion, one hundred twenty-one billion, one hundred forty-three million, three hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 311 622 933 1531 1866 2799 3062 3421 4593 5598 6842 9186 10263 13779 16841 20526 27558 30789 33682 50523 61578 101046 151569 303138 476141 952282 1428423 2856846 3522863 4285269 5237551 7045726 8570538 10475102 10568589 15712653 21137178 31425306 31705767 38751493 47137959 63411534 77502986 94275918 116254479 232508958 348763437 697526874 1095610393 2191220786 3286831179 5393503253 6573662358 9860493537 10787006506 12051714323 16180509759 19720987074 24103428646 32361019518 36155142969 48541529277 59328535783 72310285938 97083058554 108465428907 118657071566 177985607349 216930857814 355971214698 533956822047 1067913644094 1677379511683 3354759023366 5032138535049 10064277070098 15096415605147 18451174628513 30192831210294 36902349257026 55353523885539 110707047771078 166060571656617 332121143313234