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141225878900064 = 2537614219816593
BaseRepresentation
bin100000000111000110110110…
…010110000100110101100000
3200112001001200022122222121210
4200013012312112010311200
5122002321044444300224
61220210134554150120
741514142635022260
oct4007066626046540
9615031608588553
10141225878900064
1140aa9616984a52
1213a0a631122340
1360a570a64b30a
1426c35247c57a0
15114d921109429
hex8071b6584d60

141225878900064 has 192 divisors, whose sum is σ = 430725766786560. Its totient is φ = 39679315845120.

The previous prime is 141225878900023. The next prime is 141225878900083. The reversal of 141225878900064 is 460009878522141.

It is a junction number, because it is equal to n+sod(n) for n = 141225878899977 and 141225878900013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172536952 + ... + 173353544.

It is an arithmetic number, because the mean of its divisors is an integer number (2243363368680).

Almost surely, 2141225878900064 is an apocalyptic number.

141225878900064 is a gapful number since it is divisible by the number (14) 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 141225878900064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215362883393280).

141225878900064 is an abundant number, since it is smaller than the sum of its proper divisors (289499887886496).

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

141225878900064 is a wasteful number, since it uses less digits than its factorization.

141225878900064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820893 (or 820885 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 141225878900064 in words is "one hundred forty-one trillion, two hundred twenty-five billion, eight hundred seventy-eight million, nine hundred thousand, sixty-four".