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145412025462 = 232111983974801
BaseRepresentation
bin1000011101101100111…
…0110110110001110110
3111220100000101020222200
42013123032312301312
54340300434303322
6150445032205330
713335305552124
oct2073316666166
9456300336880
10145412025462
115673a32aa60
1224222239846
1310934bb2922
147076304914
153bb0e148ac
hex21db3b6c76

145412025462 has 192 divisors, whose sum is σ = 370001399040. Its totient is φ = 40808448000.

The previous prime is 145412025461. The next prime is 145412025467. The reversal of 145412025462 is 264520214541.

145412025462 is a `hidden beast` number, since 1 + 4 + 54 + 120 + 25 + 462 = 666.

It is a super-3 number, since 3×1454120254623 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145412025461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30285462 + ... + 30290262.

It is an arithmetic number, because the mean of its divisors is an integer number (1927090620).

Almost surely, 2145412025462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145412025462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185000699520).

145412025462 is an abundant number, since it is smaller than the sum of its proper divisors (224589373578).

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

145412025462 is a wasteful number, since it uses less digits than its factorization.

145412025462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 145412025462 in words is "one hundred forty-five billion, four hundred twelve million, twenty-five thousand, four hundred sixty-two".