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4234330142334 = 23231109583911923
BaseRepresentation
bin111101100111100001101…
…111100111011001111110
3112222210112202012022101200
4331213201233213121332
51023333402004023314
613001120250120330
7614630435232465
oct75474157473176
915883482168350
104234330142334
111392850a81926
125847847200a6
132493ac623ba6
14108d2a99b9dc
1575228293709
hex3d9e1be767e

4234330142334 has 96 divisors (see below), whose sum is σ = 9559652044800. Its totient is φ = 1353036363840.

The previous prime is 4234330142327. The next prime is 4234330142377. The reversal of 4234330142334 is 4332410334324.

4234330142334 is a `hidden beast` number, since 4 + 2 + 343 + 301 + 4 + 2 + 3 + 3 + 4 = 666.

It is a congruent number.

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, 355133697 + ... + 355145619.

It is an arithmetic number, because the mean of its divisors is an integer number (99579708800).

Almost surely, 24234330142334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234330142334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779826022400).

4234330142334 is an abundant number, since it is smaller than the sum of its proper divisors (5325321902466).

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

4234330142334 is a wasteful number, since it uses less digits than its factorization.

4234330142334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17910 (or 17907 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 4234330142334 its reverse (4332410334324), we get a palindrome (8566740476658).

The spelling of 4234330142334 in words is "four trillion, two hundred thirty-four billion, three hundred thirty million, one hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 109 186 218 279 327 558 654 981 1962 3379 5839 6758 10137 11678 11923 17517 20274 23846 30411 35034 35769 52551 60822 71538 105102 107307 181009 214614 362018 369613 543027 636451 739226 1086054 1108839 1272902 1299607 1629081 1909353 2217678 2599214 3258162 3326517 3818706 3898821 5728059 6653034 7797642 11456118 11696463 19729981 23392926 39459962 40287817 59189943 69618397 80575634 118379886 120863451 139236794 177569829 208855191 241726902 355139658 362590353 417710382 626565573 725180706 1253131146 2158170307 4316340614 6474510921 7588405273 12949021842 15176810546 19423532763 22765215819 38847065526 45530431638 68295647457 136591294914 235240563463 470481126926 705721690389 1411443380778 2117165071167 4234330142334