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342144102334044 = 2231011994093468407
BaseRepresentation
bin100110111001011011010000…
…1101011100111111001011100
31122212102122201202200111020210
41031302312201223213321130
5324321142110144142134
63211402455234412420
7132032044544630553
oct11562664153477134
91585378652614223
10342144102334044
119a0215540a882a
123245999b731110
13118bb08699730a
14606bc11b80d9a
152984e474b62e9
hex1372da1ae7e5c

342144102334044 has 96 divisors (see below), whose sum is σ = 812273406336000. Its totient is φ = 112076684121600.

The previous prime is 342144102334031. The next prime is 342144102334147. The reversal of 342144102334044 is 440433201441243.

It is a happy number.

It is a super-2 number, since 2×3421441023340442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342144102333993 and 342144102334011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96911689 + ... + 100380095.

It is an arithmetic number, because the mean of its divisors is an integer number (8461181316000).

Almost surely, 2342144102334044 is an apocalyptic number.

It is an amenable number.

342144102334044 is an abundant number, since it is smaller than the sum of its proper divisors (470129304001956).

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

342144102334044 is a wasteful number, since it uses less digits than its factorization.

342144102334044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469123 (or 3469121 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 342144102334044 its reverse (440433201441243), we get a palindrome (782577303775287).

The spelling of 342144102334044 in words is "three hundred forty-two trillion, one hundred forty-four billion, one hundred two million, three hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 12 101 199 202 303 398 404 409 597 606 796 818 1194 1212 1227 1636 2388 2454 4908 20099 40198 41309 60297 80396 81391 82618 120594 123927 162782 165236 241188 244173 247854 325564 488346 495708 976692 3468407 6936814 8220491 10405221 13873628 16440982 20810442 24661473 32881964 41620884 49322946 98645892 350309107 690212993 700618214 1050927321 1380425986 1401236428 1418578463 2070638979 2101854642 2760851972 2837156926 4141277958 4203709284 4255735389 5674313852 8282555916 8511470778 17022941556 69711512293 139423024586 143276424763 209134536879 278846049172 282297114137 286552849526 418269073758 429829274289 564594228274 573105699052 836538147516 846891342411 859658548578 1129188456548 1693782684822 1719317097156 3387565369644 28512008527837 57024017055674 85536025583511 114048034111348 171072051167022 342144102334044