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141741390470400 = 283252717311394799
BaseRepresentation
bin100000001110100110111101…
…001110101001110100000000
3200120212100022012122010010100
4200032212331032221310000
5122034242331430023100
61221243032412202400
741566322535045030
oct4016467516516400
9616770265563110
10141741390470400
1141188205803866
1213a92520a69400
1361122042bb776
142700469b578c0
15115c043903400
hex80e9bd3a9d00

141741390470400 has 2592 divisors, whose sum is σ = 637687185408000. Its totient is φ = 29290246963200.

The previous prime is 141741390470387. The next prime is 141741390470419. The reversal of 141741390470400 is 4074093147141.

141741390470400 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 4 + 139 + 0 + 470 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29535607201 + ... + 29535611999.

Almost surely, 2141741390470400 is an apocalyptic number.

141741390470400 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 141741390470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318843592704000).

141741390470400 is an abundant number, since it is smaller than the sum of its proper divisors (495945794937600).

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

141741390470400 is a wasteful number, since it uses less digits than its factorization.

141741390470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 141741390470400 in words is "one hundred forty-one trillion, seven hundred forty-one billion, three hundred ninety million, four hundred seventy thousand, four hundred".