Search a number
-
+
30140341342300 = 22527891759275039
BaseRepresentation
bin1101101101001100110000…
…10101101101000001011100
310221201101111012200121211201
412312212120111231001130
512422304404340423200
6144034140501125244
76230365520203450
oct666463025550134
9127641435617751
1030140341342300
1196704a0a26772
1234694973b9824
1313a82b6945827
14762b2c070660
15374045973c6a
hex1b699856d05c

30140341342300 has 144 divisors (see below), whose sum is σ = 75631159296000. Its totient is φ = 10211874900480.

The previous prime is 30140341342277. The next prime is 30140341342301. The reversal of 30140341342300 is 324314304103.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30140341342301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109448181 + ... + 109723219.

It is an arithmetic number, because the mean of its divisors is an integer number (525216384000).

Almost surely, 230140341342300 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 30140341342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37815579648000).

30140341342300 is an abundant number, since it is smaller than the sum of its proper divisors (45490817953700).

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

30140341342300 is a wasteful number, since it uses less digits than its factorization.

30140341342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276908 (or 276901 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 30140341342300 its reverse (324314304103), we get a palindrome (30464655646403).

The spelling of 30140341342300 in words is "thirty trillion, one hundred forty billion, three hundred forty-one million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 175 178 350 356 445 623 700 890 1246 1759 1780 2225 2492 3115 3518 4450 6230 7036 8795 8900 12313 12460 15575 17590 24626 31150 35180 43975 49252 61565 62300 87950 123130 156551 175900 246260 275039 307825 313102 550078 615650 626204 782755 1095857 1100156 1231300 1375195 1565510 1925273 2191714 2750390 3131020 3850546 3913775 4383428 5479285 5500780 6875975 7701092 7827550 9626365 10958570 13751950 15655100 19252730 21917140 24478471 27396425 27503900 38505460 48131825 48956942 54792850 96263650 97913884 109585700 122392355 171349297 192527300 244784710 342698594 483793601 489569420 611961775 685397188 856746485 967587202 1223923550 1713492970 1935174404 2418968005 2447847100 3386555207 3426985940 4283732425 4837936010 6773110414 8567464850 9675872020 12094840025 13546220828 16932776035 17134929700 24189680050 33865552070 43057630489 48379360100 67731104140 84663880175 86115260978 169327760350 172230521956 215288152445 301403413423 338655520700 430576304890 602806826846 861152609780 1076440762225 1205613653692 1507017067115 2152881524450 3014034134230 4305763048900 6028068268460 7535085335575 15070170671150 30140341342300