Search a number
-
+
454090463148 = 223716133351419
BaseRepresentation
bin1101001101110011110…
…01101001011110101100
31121102002100022121011210
412212321321221132230
524414434124310043
6544334542314420
744543533152210
oct6467171513654
91542070277153
10454090463148
11165640256a03
1274009b88a10
1333a8898445a
1417d99c74940
15bc2a432633
hex69b9e697ac

454090463148 has 48 divisors (see below), whose sum is σ = 1211658981120. Its totient is φ = 129659659584.

The previous prime is 454090463143. The next prime is 454090463161. The reversal of 454090463148 is 841364090454.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 454090463097 and 454090463106.

It is not an unprimeable number, because it can be changed into a prime (454090463143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540218 + ... + 1811201.

It is an arithmetic number, because the mean of its divisors is an integer number (25242895440).

Almost surely, 2454090463148 is an apocalyptic number.

It is an amenable number.

454090463148 is an abundant number, since it is smaller than the sum of its proper divisors (757568517972).

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

454090463148 is a wasteful number, since it uses less digits than its factorization.

454090463148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353046 (or 3353044 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 454090463148 in words is "four hundred fifty-four billion, ninety million, four hundred sixty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1613 3226 4839 6452 9678 11291 19356 22582 33873 45164 67746 135492 3351419 6702838 10054257 13405676 20108514 23459933 40217028 46919866 70379799 93839732 140759598 281519196 5405838847 10811677694 16217516541 21623355388 32435033082 37840871929 64870066164 75681743858 113522615787 151363487716 227045231574 454090463148