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334032211213242 = 233141475871587653
BaseRepresentation
bin100101111110011001110111…
…1010010101111101110111010
31121210201011112010102012222020
41023330303233102233232322
5322240240432032310432
63142232140203335310
7130234013405032203
oct11374635722575672
91553634463365866
10334032211213242
11974842a1034433
123156981b821536
1311450143b61089
145c6b3610c65aa
152893e2740122c
hex12fccef4afbba

334032211213242 has 128 divisors (see below), whose sum is σ = 722694817087488. Its totient is φ = 102712193548800.

The previous prime is 334032211213231. The next prime is 334032211213247. The reversal of 334032211213242 is 242312112230433.

It is a happy number.

It is a super-2 number, since 2×3340322112132422 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334032211213247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209599888 + ... + 211187540.

It is an arithmetic number, because the mean of its divisors is an integer number (5646053258496).

Almost surely, 2334032211213242 is an apocalyptic number.

334032211213242 is an abundant number, since it is smaller than the sum of its proper divisors (388662605874246).

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

334032211213242 is a wasteful number, since it uses less digits than its factorization.

334032211213242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588364.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 334032211213242 its reverse (242312112230433), we get a palindrome (576344323443675).

The spelling of 334032211213242 in words is "three hundred thirty-four trillion, thirty-two billion, two hundred eleven million, two hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 31 41 47 62 82 93 94 123 141 186 246 282 587 1174 1271 1457 1761 1927 2542 2914 3522 3813 3854 4371 5781 7626 8742 11562 18197 24067 27589 36394 48134 54591 55178 59737 72201 82767 109182 119474 144402 165534 179211 358422 746077 855259 1131149 1492154 1587653 1710518 2238231 2262298 2565777 3175306 3393447 4476462 4762959 5131554 6786894 9525918 35065619 49217243 65093773 70131238 74619691 98434486 105196857 130187546 147651729 149239382 195281319 210393714 223859073 295303458 390562638 447718146 931952311 1863904622 2017906963 2313210421 2795856933 3059407331 4035813926 4626420842 5591713866 6053720889 6118814662 6939631263 9178221993 12107441778 13879262526 18356443986 28890521641 38210044751 43801758617 57781043282 76420089502 86671564923 87603517234 94841627261 114630134253 131405275851 173343129846 189683254522 229260268506 262810551702 284524881783 569049763566 1184511387281 1357854517127 1795872103297 2369022774562 2715709034254 3553534161843 3591744206594 4073563551381 5387616309891 7107068323686 8147127102762 10775232619782 55672035202207 111344070404414 167016105606621 334032211213242