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141223414133040 = 243519417213104723
BaseRepresentation
bin100000000111000100100011…
…011011101111000100110000
3200112000211022112202211220020
4200013010203123233010300
5122002301023004224130
61220205050225443440
741514024565605501
oct4007044333570460
9615024275684806
10141223414133040
1140aa8571656008
1213a0a0637a0580
1360a5406b069a5
1426c336d306ba8
15114d829a3ce10
hex8071236ef130

141223414133040 has 320 divisors, whose sum is σ = 472144115842560. Its totient is φ = 34802153349120.

The previous prime is 141223414133003. The next prime is 141223414133069. The reversal of 141223414133040 is 40331414322141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141223414132992 and 141223414133010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1348490119 + ... + 1348594841.

It is an arithmetic number, because the mean of its divisors is an integer number (1475450362008).

Almost surely, 2141223414133040 is an apocalyptic number.

141223414133040 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 141223414133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236072057921280).

141223414133040 is an abundant number, since it is smaller than the sum of its proper divisors (330920701709520).

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

141223414133040 is a wasteful number, since it uses less digits than its factorization.

141223414133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112012 (or 112006 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 141223414133040 its reverse (40331414322141), we get a palindrome (181554828455181).

The spelling of 141223414133040 in words is "one hundred forty-one trillion, two hundred twenty-three billion, four hundred fourteen million, one hundred thirty-three thousand, forty".