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4741341018336 = 2532134987253937
BaseRepresentation
bin100010011111110110111…
…1100100111100011100000
3121210021020012121102111100
41010333231330213203200
51110140231300041321
614030050400514400
7666356564456646
oct104775574474340
917707205542440
104741341018336
11156887844221a
12646aa161ba00
132851500b50b0
141256a6d6d196
15834ee63d326
hex44fedf278e0

4741341018336 has 144 divisors (see below), whose sum is σ = 14523325702704. Its totient is φ = 1458575880192.

The previous prime is 4741341018289. The next prime is 4741341018367. The reversal of 4741341018336 is 6338101431474.

4741341018336 is a `hidden beast` number, since 47 + 4 + 13 + 410 + 183 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4741341018291 and 4741341018300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18544360 + ... + 18798296.

It is an arithmetic number, because the mean of its divisors is an integer number (100856428491).

Almost surely, 24741341018336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4741341018336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261662851352).

4741341018336 is an abundant number, since it is smaller than the sum of its proper divisors (9781984684368).

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

4741341018336 is a wasteful number, since it uses less digits than its factorization.

4741341018336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258953 (or 258942 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4741341018336 in words is "four trillion, seven hundred forty-one billion, three hundred forty-one million, eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 4987 9974 14961 19948 29922 39896 44883 59844 64831 79792 89766 119688 129662 159584 179532 194493 239376 253937 259324 359064 388986 478752 507874 518648 583479 718128 761811 777972 1015748 1037296 1166958 1436256 1523622 1555944 2031496 2074592 2285433 2333916 3047244 3111888 3301181 4062992 4570866 4667832 6094488 6223776 6602362 8125984 9141732 9335664 9903543 12188976 13204724 18283464 18671328 19807086 24377952 26409448 29710629 36566928 39614172 52818896 59421258 73133856 79228344 105637792 118842516 158456688 237685032 316913376 475370064 950740128 1266383819 2532767638 3799151457 5065535276 7598302914 10131070552 11397454371 15196605828 16462989647 20262141104 22794908742 30393211656 32925979294 40524282208 45589817484 49388968941 60786423312 65851958588 91179634968 98777937882 121572846624 131703917176 148166906823 182359269936 197555875764 263407834352 296333813646 364718539872 395111751528 526815668704 592667627292 790223503056 1185335254584 1580447006112 2370670509168 4741341018336