Search a number
-
+
42003433313322 = 23132339760198129
BaseRepresentation
bin10011000110011101011111…
…01110001101010000101010
312111201111012111011020202020
421203032233232031100222
521001141012412011242
6225200035541045310
711563435143164445
oct1143165756152052
9174644174136666
1042003433313322
1112424613094a88
1248646689b6836
131a58ba3219a80
14a52d96d2865c
154cc9143326ec
hex2633afb8d42a

42003433313322 has 128 divisors (see below), whose sum is σ = 94798591695360. Its totient is φ = 12310432358400.

The previous prime is 42003433313311. The next prime is 42003433313353. The reversal of 42003433313322 is 22331333430024.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427993954 + ... + 428092082.

It is an arithmetic number, because the mean of its divisors is an integer number (740613997620).

Almost surely, 242003433313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42003433313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47399295847680).

42003433313322 is an abundant number, since it is smaller than the sum of its proper divisors (52795158382038).

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

42003433313322 is a wasteful number, since it uses less digits than its factorization.

42003433313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99168.

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 42003433313322 its reverse (22331333430024), we get a palindrome (64334766743346).

The spelling of 42003433313322 in words is "forty-two trillion, three billion, four hundred thirty-three million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 397 598 601 794 897 1191 1202 1794 1803 2382 3606 5161 7813 9131 10322 13823 15483 15626 18262 23439 27393 27646 30966 41469 46878 54786 82938 98129 118703 179699 196258 237406 238597 294387 356109 359398 477194 539097 588774 712218 715791 1078194 1275677 1431582 2256967 2551354 3101761 3827031 4513934 5487731 6203522 6770901 7654062 9305283 10975462 13541802 16463193 18610566 29340571 32926386 38957213 58681142 58975529 71340503 77914426 88021713 116871639 117951058 142681006 176043426 176926587 214021509 233743278 353853174 428043018 506443769 766681877 896015899 1012887538 1356437167 1519331307 1533363754 1792031798 2300045631 2688047697 2712874334 3038662614 4069311501 4600091262 5376095394 8138623002 11648206687 17633683171 23296413374 23413285013 34944620061 35267366342 46826570026 52901049513 69889240122 70239855039 105802099026 140479710078 304372705169 538505555299 608745410338 913118115507 1077011110598 1615516665897 1826236231014 3231033331794 7000572218887 14001144437774 21001716656661 42003433313322