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141224314342400 = 2105219674333523
BaseRepresentation
bin100000000111000101011001…
…000101110000110000000000
3200112000220122021200012222122
4200013011121011300300000
5122002304343432424100
61220205315424223412
741514056106345542
oct4007053105606000
9615026567605878
10141224314342400
1140aa8993810693
1213a0a27516ab68
1360a551b474753
1426c3416ab9692
15114d87daab985
hex807159170c00

141224314342400 has 264 divisors, whose sum is σ = 373989708156480. Its totient is φ = 52717815152640.

The previous prime is 141224314342373. The next prime is 141224314342453. The reversal of 141224314342400 is 4243413422141.

It is a super-2 number, since 2×1412243143424002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30422039 + ... + 34755561.

Almost surely, 2141224314342400 is an apocalyptic number.

141224314342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141224314342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186994854078240).

141224314342400 is an abundant number, since it is smaller than the sum of its proper divisors (232765393814080).

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

141224314342400 is a wasteful number, since it uses less digits than its factorization.

141224314342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333639 (or 4333616 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 141224314342400 its reverse (4243413422141), we get a palindrome (145467727764541).

The spelling of 141224314342400 in words is "one hundred forty-one trillion, two hundred twenty-four billion, three hundred fourteen million, three hundred forty-two thousand, four hundred".