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351144343120112 = 241952312131820747
BaseRepresentation
bin100111111010111010010100…
…1110101100010100011110000
31201001022001221000120111222122
41033311310221311202203300
5332011122103314320422
63242453252334053412
7133651225111224263
oct11765645165424360
91631261830514878
10351144343120112
11a1981530417003
123347216204a268
13120c1a006c1869
14629d696824cda
152a8e10bda6d42
hex13f5d29d628f0

351144343120112 has 80 divisors (see below), whose sum is σ = 718110876831360. Its totient is φ = 165876544417536.

The previous prime is 351144343120073. The next prime is 351144343120147. The reversal of 351144343120112 is 211021343441153.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191946923 + ... + 193767669.

It is an arithmetic number, because the mean of its divisors is an integer number (8976385960392).

Almost surely, 2351144343120112 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 351144343120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359055438415680).

351144343120112 is an abundant number, since it is smaller than the sum of its proper divisors (366966533711248).

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

351144343120112 is a wasteful number, since it uses less digits than its factorization.

351144343120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822510 (or 1822504 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 351144343120112 its reverse (211021343441153), we get a palindrome (562165686561265).

The spelling of 351144343120112 in words is "three hundred fifty-one trillion, one hundred forty-four billion, three hundred forty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 523 1046 1213 2092 2426 4184 4852 8368 9704 9937 19408 19874 23047 39748 46094 79496 92188 158992 184376 368752 634399 1268798 1820747 2537596 3641494 5075192 7282988 10150384 12053581 14565976 24107162 29131952 34594193 48214324 69188386 96428648 138376772 192857296 276753544 553507088 952250681 1904501362 2208566111 3809002724 4417132222 7618005448 8834264444 15236010896 17668528888 18092762939 35337057776 36185525878 41962756109 72371051756 83925512218 144742103512 167851024436 289484207024 335702048872 671404097744 1155080076053 2310160152106 4620320304212 9240640608424 18481281216848 21946521445007 43893042890014 87786085780028 175572171560056 351144343120112