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20401325140104 = 233231331254310859
BaseRepresentation
bin1001010001110000011011…
…01111001110100010001000
32200020100101102111222010200
410220320031233032202020
510133223403213440404
6111220123412412200
74203642566311056
oct450701557164210
980210342458120
1020401325140104
1165561761a8847
122355ab6617060
13b4cab531cc3c
145076024071d6
15255a42c88839
hex128e0dbce888

20401325140104 has 192 divisors, whose sum is σ = 57236043571200. Its totient is φ = 6558006153600.

The previous prime is 20401325140087. The next prime is 20401325140177. The reversal of 20401325140104 is 40104152310402.

20401325140104 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 1 + 3 + 251 + 401 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878742627 + ... + 1878753485.

It is an arithmetic number, because the mean of its divisors is an integer number (298104393600).

Almost surely, 220401325140104 is an apocalyptic number.

20401325140104 is a gapful number since it is divisible by the number (24) 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 20401325140104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28618021785600).

20401325140104 is an abundant number, since it is smaller than the sum of its proper divisors (36834718431096).

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

20401325140104 is a wasteful number, since it uses less digits than its factorization.

20401325140104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20401325140104 its reverse (40104152310402), we get a palindrome (60505477450506).

The spelling of 20401325140104 in words is "twenty trillion, four hundred one billion, three hundred twenty-five million, one hundred forty thousand, one hundred four".