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141132123233304 = 23377333195735863
BaseRepresentation
bin100000000101101111100010…
…000100100101110000011000
3200111201002200022211122020120
4200011233202010211300120
5121444302042021431204
61220055111412553240
741504313403013040
oct4005574204456030
9614632608748216
10141132123233304
1140a72885292935
12139b4426622820
136099918714918
1426bcb8cbb6720
15114b2851bc6d9
hex805be2125c18

141132123233304 has 128 divisors (see below), whose sum is σ = 403808647971840. Its totient is φ = 40266069345792.

The previous prime is 141132123233273. The next prime is 141132123233317. The reversal of 141132123233304 is 403332321231141.

It is a super-3 number, since 3×1411321232333043 (a number of 43 digits) contains 333 as substring.

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, 3935294877 + ... + 3935330739.

It is an arithmetic number, because the mean of its divisors is an integer number (3154755062280).

Almost surely, 2141132123233304 is an apocalyptic number.

141132123233304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141132123233304 is an abundant number, since it is smaller than the sum of its proper divisors (262676524738536).

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

141132123233304 is a wasteful number, since it uses less digits than its factorization.

141132123233304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68569 (or 68565 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 141132123233304 its reverse (403332321231141), we get a palindrome (544464444464445).

The spelling of 141132123233304 in words is "one hundred forty-one trillion, one hundred thirty-two billion, one hundred twenty-three million, two hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 733 1466 2199 2932 4398 5131 5864 8796 10262 15393 17592 20524 30786 31957 35863 41048 61572 63914 71726 95871 107589 123144 127828 143452 191742 215178 223699 251041 255656 286904 383484 430356 447398 502082 671097 753123 766968 860712 894796 1004164 1342194 1506246 1789592 2008328 2684388 3012492 5368776 6024984 23424481 26287579 46848962 52575158 70273443 78862737 93697924 105150316 140546886 157725474 163971367 184013053 187395848 210300632 281093772 315450948 327942734 368026106 491914101 552039159 562187544 630901896 655885468 736052212 983828202 1104078318 1146073891 1311770936 1472104424 1967656404 2208156636 2292147782 3438221673 3935312808 4416313272 4584295564 6876443346 8022517237 9168591128 13752886692 16045034474 24067551711 27505773384 32090068948 48135103422 64180137896 96270206844 192540413688 840072162103 1680144324206 2520216486309 3360288648412 5040432972618 5880505134721 6720577296824 10080865945236 11761010269442 17641515404163 20161731890472 23522020538884 35283030808326 47044041077768 70566061616652 141132123233304