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202014400012344 = 2334311750617303
BaseRepresentation
bin101101111011101100100100…
…100011010110000000111000
3222111021101110212122022220000
4231323230210203112000320
5202434300442400343334
61553352044552433000
760360026104024053
oct5573544443260070
9874241425568800
10202014400012344
115940590a336587
121a7a78b19a8760
138894b50c791ca
1437c5798b55a9a
151854cd1367299
hexb7bb248d6038

202014400012344 has 40 divisors (see below), whose sum is σ = 565827370406760. Its totient is φ = 67338133337232.

The previous prime is 202014400012309. The next prime is 202014400012363. The reversal of 202014400012344 is 443210004410202.

202014400012344 is a `hidden beast` number, since 2 + 0 + 20 + 1 + 4 + 400 + 0 + 1 + 234 + 4 = 666.

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

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 9 ways as a sum of consecutive naturals, for example, 155875308004 + ... + 155875309299.

It is an arithmetic number, because the mean of its divisors is an integer number (14145684260169).

Almost surely, 2202014400012344 is an apocalyptic number.

202014400012344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202014400012344 is an abundant number, since it is smaller than the sum of its proper divisors (363812970394416).

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

202014400012344 is a wasteful number, since it uses less digits than its factorization.

202014400012344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311750617321 (or 311750617308 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202014400012344 its reverse (443210004410202), we get a palindrome (645224404422546).

The spelling of 202014400012344 in words is "two hundred two trillion, fourteen billion, four hundred million, twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 311750617303 623501234606 935251851909 1247002469212 1870503703818 2494004938424 2805755555727 3741007407636 5611511111454 7482014815272 8417266667181 11223022222908 16834533334362 22446044445816 25251800001543 33669066668724 50503600003086 67338133337448 101007200006172 202014400012344