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31204333213144 = 23713379049128021
BaseRepresentation
bin1110001100001010100110…
…01100100101010111011000
311002111002211122002220102021
413012011103030211113120
513042222433300310034
6150211023415344224
76400303315655560
oct706052314452730
9132432748086367
1031204333213144
119a40757670333
1235bb738082074
13145472c6a4ab0
1479c4251a5da0
15391a6a1096b4
hex1c61533255d8

31204333213144 has 128 divisors (see below), whose sum is σ = 73964966544000. Its totient is φ = 12009513185280.

The previous prime is 31204333213099. The next prime is 31204333213217. The reversal of 31204333213144 is 44131233340213.

It is a super-2 number, since 2×312043332131442 (a number of 28 digits) contains 22 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, 243679854 + ... + 243807874.

It is an arithmetic number, because the mean of its divisors is an integer number (577851301125).

Almost surely, 231204333213144 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 31204333213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36982483272000).

31204333213144 is an abundant number, since it is smaller than the sum of its proper divisors (42760633330856).

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

31204333213144 is a wasteful number, since it uses less digits than its factorization.

31204333213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137133 (or 137129 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 31204333213144 its reverse (44131233340213), we get a palindrome (75335566553357).

The spelling of 31204333213144 in words is "thirty-one trillion, two hundred four billion, three hundred thirty-three million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 296 364 481 518 728 962 1036 1924 2072 3367 3848 6734 9049 13468 18098 26936 36196 63343 72392 117637 126686 128021 235274 253372 256042 334813 470548 506744 512084 669626 823459 896147 941096 1024168 1339252 1646918 1664273 1792294 2343691 2678504 3293836 3328546 3584588 4352569 4687382 4736777 6587672 6657092 7169176 8705138 9374764 9473554 11649911 13314184 17410276 18749528 18947108 23299822 30467983 33157439 34820552 37894216 46599644 60935966 61578101 66314878 93199288 121871932 123156202 132629756 243743864 246312404 265259512 431046707 492624808 862093414 1158462029 1724186828 2316924058 3448373656 4633848116 8109234203 9267696232 15060006377 16218468406 30120012754 32436936812 42863095073 60240025508 64873873624 85726190146 105420044639 120480051016 171452380292 210840089278 300041665511 342904760584 421680178556 557220235949 600083331022 843360357112 1114440471898 1200166662044 2228880943796 2400333324088 3900541651643 4457761887592 7801083303286 15602166606572 31204333213144