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10342035042144 = 2531310497899797
BaseRepresentation
bin1001011001111111000101…
…0100110010111101100000
31100121200121012111200002020
42112133301110302331200
52323420441432322034
633555022035021440
72115121161261141
oct226376124627540
940550535450066
1010342035042144
11332803a18a673
1211b043273a880
135a0332832a20
1427a7b2c19ac8
1512e047abe249
hex967f1532f60

10342035042144 has 96 divisors (see below), whose sum is σ = 29264011711200. Its totient is φ = 3179130703872.

The previous prime is 10342035042121. The next prime is 10342035042151. The reversal of 10342035042144 is 44124053024301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103420350421442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2640747 + ... + 5259050.

It is an arithmetic number, because the mean of its divisors is an integer number (304833455325).

Almost surely, 210342035042144 is an apocalyptic number.

It is an amenable number.

10342035042144 is an abundant number, since it is smaller than the sum of its proper divisors (18921976669056).

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

10342035042144 is a wasteful number, since it uses less digits than its factorization.

10342035042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7900872 (or 7900864 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 10342035042144 its reverse (44124053024301), we get a palindrome (54466088066445).

The spelling of 10342035042144 in words is "ten trillion, three hundred forty-two billion, thirty-five million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1049 1248 2098 3147 4196 6294 8392 12588 13637 16784 25176 27274 33568 40911 50352 54548 81822 100704 109096 163644 218192 327288 436384 654576 1309152 7899797 15799594 23699391 31599188 47398782 63198376 94797564 102697361 126396752 189595128 205394722 252793504 308092083 379190256 410789444 616184166 758380512 821578888 1232368332 1643157776 2464736664 3286315552 4929473328 8286887053 9858946656 16573774106 24860661159 33147548212 49721322318 66295096424 99442644636 107729531689 132590192848 198885289272 215459063378 265180385696 323188595067 397770578544 430918126756 646377190134 795541157088 861836253512 1292754380268 1723672507024 2585508760536 3447345014048 5171017521072 10342035042144