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1414322325504 = 211331117136777
BaseRepresentation
bin10100100101001100001…
…011100000100000000000
312000012121112222022112000
4110211030023200200000
5141133013003404004
63001421455504000
7204116140261044
oct24451413404000
95005545868460
101414322325504
114a58a1099440
121aa131828000
13a34a6c2c5aa
144c64c828024
1526bca711c39
hex1494c2e0800

1414322325504 has 384 divisors, whose sum is σ = 4839315062400. Its totient is φ = 403368837120.

The previous prime is 1414322325499. The next prime is 1414322325571. The reversal of 1414322325504 is 4055232234141.

It is a happy number.

1414322325504 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 322 + 325 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10271964 + ... + 10408740.

It is an arithmetic number, because the mean of its divisors is an integer number (12602382975).

Almost surely, 21414322325504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414322325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419657531200).

1414322325504 is an abundant number, since it is smaller than the sum of its proper divisors (3424992736896).

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

1414322325504 is a wasteful number, since it uses less digits than its factorization.

1414322325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136836 (or 136810 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1414322325504 its reverse (4055232234141), we get a palindrome (5469554559645).

The spelling of 1414322325504 in words is "one trillion, four hundred fourteen billion, three hundred twenty-two million, three hundred twenty-five thousand, five hundred four".