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141404590379520 = 29325131924847579
BaseRepresentation
bin100000001001101101010010…
…011000010001001000000000
3200112200010222000211202222100
4200021231102120101020000
5122013233100114121040
61220424212205310400
741533100366362566
oct4011552230211000
9615603860752870
10141404590379520
114106839394a616
1213a391a7265400
1360b951b346970
1426cc03940ba36
1511533d063db30
hex809b52611200

141404590379520 has 480 divisors, whose sum is σ = 555152583585600. Its totient is φ = 32975320154112.

The previous prime is 141404590379491. The next prime is 141404590379527. The reversal of 141404590379520 is 25973095404141.

141404590379520 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 45 + 9 + 0 + 3 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (141404590379527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6732910 + ... + 18114669.

It is an arithmetic number, because the mean of its divisors is an integer number (1156567882470).

Almost surely, 2141404590379520 is an apocalyptic number.

141404590379520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141404590379520 is an abundant number, since it is smaller than the sum of its proper divisors (413747993206080).

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

141404590379520 is a wasteful number, since it uses less digits than its factorization.

141404590379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24847640 (or 24847621 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 141404590379520 in words is "one hundred forty-one trillion, four hundred four billion, five hundred ninety million, three hundred seventy-nine thousand, five hundred twenty".