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30214302410000 = 245412972329553
BaseRepresentation
bin1101101111010110100001…
…10000110010010100010000
310221222110101200111011002102
412313223100300302110100
512430012342404110000
6144132131531335532
76235624402666442
oct667532060622420
9127873350434072
1030214302410000
1196998a5030605
12347b8988b15a8
1313b2272900007
14766546b84492
15375e23bb93d5
hex1b7ad0c32510

30214302410000 has 100 divisors (see below), whose sum is σ = 73208279798412. Its totient is φ = 12076397568000.

The previous prime is 30214302409987. The next prime is 30214302410053. The reversal of 30214302410000 is 1420341203.

It can be written as a sum of positive squares in 10 ways, for example, as 20981236758784 + 9233065651216 = 4580528^2 + 3038596^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11805224 + ... + 14134776.

Almost surely, 230214302410000 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 30214302410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604139899206).

30214302410000 is an abundant number, since it is smaller than the sum of its proper divisors (42993977388412).

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

30214302410000 is a wasteful number, since it uses less digits than its factorization.

30214302410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330878 (or 2330857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30214302410000 its reverse (1420341203), we get a palindrome (30215722751203).

The spelling of 30214302410000 in words is "thirty trillion, two hundred fourteen billion, three hundred two million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1297 2000 2500 2594 5000 5188 6485 10000 10376 12970 20752 25940 32425 51880 64850 103760 129700 162125 259400 324250 518800 648500 810625 1297000 1621250 2329553 2594000 3242500 4659106 6485000 9318212 11647765 12970000 18636424 23295530 37272848 46591060 58238825 93182120 116477650 186364240 232955300 291194125 465910600 582388250 931821200 1164776500 1455970625 2329553000 2911941250 3021430241 4659106000 5823882500 6042860482 11647765000 12085720964 15107151205 23295530000 24171441928 30214302410 48342883856 60428604820 75535756025 120857209640 151071512050 241714419280 302143024100 377678780125 604286048200 755357560250 1208572096400 1510715120500 1888393900625 3021430241000 3776787801250 6042860482000 7553575602500 15107151205000 30214302410000