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33042223241440 = 2557221523195817
BaseRepresentation
bin1111000001101001111011…
…11110101001100011100000
311022222210202100102221100021
413200310331332221203200
513312330433122211230
6154135215433203224
76650136044312500
oct740647576514340
9138883670387307
1033042223241440
11a58a145679a96
123857979860514
131558b397cc98a
14823375c1ba00
153c47862b2c7a
hex1e0d3dfa98e0

33042223241440 has 144 divisors (see below), whose sum is σ = 90811792773072. Its totient is φ = 11328178046976.

The previous prime is 33042223241429. The next prime is 33042223241471. The reversal of 33042223241440 is 4414232224033.

It is a junction number, because it is equal to n+sod(n) for n = 33042223241396 and 33042223241405.

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, 168642412 + ... + 168838228.

It is an arithmetic number, because the mean of its divisors is an integer number (630637449813).

Almost surely, 233042223241440 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 33042223241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405896386536).

33042223241440 is an abundant number, since it is smaller than the sum of its proper divisors (57769569531632).

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

33042223241440 is a wasteful number, since it uses less digits than its factorization.

33042223241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217369 (or 217354 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 33042223241440 its reverse (4414232224033), we get a palindrome (37456455465473).

The spelling of 33042223241440 in words is "thirty-three trillion, forty-two billion, two hundred twenty-three million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 21523 43046 86092 107615 150661 172184 195817 215230 301322 344368 391634 430460 602644 688736 753305 783268 860920 979085 1054627 1205288 1370719 1506610 1566536 1721840 1958170 2109254 2410576 2741438 3013220 3133072 3443680 3916340 4218508 4821152 5273135 5482876 6026440 6266144 6853595 7832680 8437016 9595033 10546270 10965752 12052880 13707190 15665360 16874032 19190066 21092540 21931504 24105760 27414380 31330720 33748064 38380132 42185080 43863008 47975165 54828760 76760264 84370160 95950330 109657520 153520528 168740320 191900660 219315040 307041056 383801320 767602640 1535205280 4214569291 8429138582 16858277164 21072846455 29501985037 33716554328 42145692910 59003970074 67433108656 84291385820 118007940148 134866217312 147509925185 168582771640 206513895259 236015880296 295019850370 337165543280 413027790518 472031760592 590039700740 674331086560 826055581036 944063521184 1032569476295 1180079401480 1652111162072 2065138952590 2360158802960 3304222324144 4130277905180 4720317605920 6608444648288 8260555810360 16521111620720 33042223241440