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331334141024034 = 2365711085336671
BaseRepresentation
bin100101101010110001011110…
…1110001110001011100100010
31121110011020022222100112000000
41023111202331301301130202
5321412034310100232114
63132404445243440430
7126535046614600131
oct11325427561613442
91543136288315000
10331334141024034
1196634024821405
12311b2939526116
13112b58a1c00465
145bb692d759918
152848b649b6e09
hex12d58bdc71722

331334141024034 has 112 divisors (see below), whose sum is σ = 746555086278144. Its totient is φ = 110238125536800.

The previous prime is 331334141023981. The next prime is 331334141024057. The reversal of 331334141024034 is 430420141433133.

331334141024034 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 341 + 41 + 0 + 240 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 331334141024034.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9035299519 + ... + 9035336189.

Almost surely, 2331334141024034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331334141024034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373277543139072).

331334141024034 is an abundant number, since it is smaller than the sum of its proper divisors (415220945254110).

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

331334141024034 is a wasteful number, since it uses less digits than its factorization.

331334141024034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48115 (or 48100 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 331334141024034 its reverse (430420141433133), we get a palindrome (761754282457167).

The spelling of 331334141024034 in words is "three hundred thirty-one trillion, three hundred thirty-four billion, one hundred forty-one million, twenty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 571 729 1142 1458 1713 3426 5139 10278 10853 15417 21706 30834 32559 36671 46251 65118 73342 92502 97677 110013 138753 195354 220026 277506 293031 330039 416259 586062 660078 832518 879093 990117 1758186 1980234 2637279 2970351 5274558 5940702 6197063 7911837 8911053 12394126 15823674 17822106 18591189 20939141 26733159 37182378 41878282 53466318 55773567 62817423 111547134 125634846 167320701 188452269 334641402 376904538 397990363 501962103 565356807 795980726 1003924206 1130713614 1193971089 1505886309 1696070421 2387942178 3011772618 3392140842 3581913267 4517658927 5088211263 7163826534 9035317854 10176422526 10745739801 15264633789 21491479602 30529267578 32237219403 64474438806 96711658209 193423316418 227252497273 290134974627 454504994546 580269949254 681757491819 1363514983638 2045272475457 4090544950914 6135817426371 12271634852742 18407452279113 36814904558226 55222356837339 110444713674678 165667070512017 331334141024034