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3134010420108 = 2234172707210193
BaseRepresentation
bin101101100110110001100…
…100111110101110001100
3102002121102120111222020000
4231212301210332232030
5402321423131420413
610355424451524300
7442265462014251
oct55466144765614
912077376458200
103134010420108
11aa91431a6897
124274858b9690
131996c7533c89
14ab988c69428
15567c96da073
hex2d9b193eb8c

3134010420108 has 120 divisors (see below), whose sum is σ = 8678104796592. Its totient is φ = 982851065856.

The previous prime is 3134010420097. The next prime is 3134010420139. The reversal of 3134010420108 is 8010240104313.

3134010420108 is a `hidden beast` number, since 3 + 134 + 0 + 1 + 0 + 420 + 108 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 14805060 + ... + 15015252.

Almost surely, 23134010420108 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 3134010420108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339052398296).

3134010420108 is an abundant number, since it is smaller than the sum of its proper divisors (5544094376484).

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

3134010420108 is a wasteful number, since it uses less digits than its factorization.

3134010420108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212933 (or 212922 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 3134010420108 in words is "three trillion, one hundred thirty-four billion, ten million, four hundred twenty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2707 2754 5414 5508 8121 10828 16242 24363 32484 46019 48726 73089 92038 97452 138057 146178 184076 210193 219267 276114 292356 414171 420386 438534 552228 630579 828342 840772 877068 1242513 1261158 1656684 1891737 2485026 2522316 3573281 3727539 3783474 4970052 5675211 7146562 7455078 7566948 10719843 11350422 14293124 14910156 17025633 21439686 22700844 32159529 34051266 42879372 64319058 68102532 96478587 128638116 192957174 289435761 385914348 568992451 578871522 1137984902 1157743044 1706977353 2275969804 3413954706 5120932059 6827909412 9672871667 10241864118 15362796177 19345743334 20483728236 29018615001 30725592354 38691486668 46088388531 58037230002 61451184708 87055845003 92176777062 116074460004 174111690006 184353554124 261167535009 348223380012 522335070018 783502605027 1044670140036 1567005210054 3134010420108