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1348420146948 = 223471517875003
BaseRepresentation
bin10011100111110100000…
…110101001011100000100
311202220111201101202220000
4103213310012221130010
5134043031024200243
62511242231241300
7166264052064510
oct23476406513404
94686451352800
101348420146948
1147a953024266
121993bb219230
139a203766674
144939a14b140
152511ec4a5d3
hex139f41a9704

1348420146948 has 240 divisors, whose sum is σ = 4061257288704. Its totient is φ = 382148798400.

The previous prime is 1348420146937. The next prime is 1348420146959. The reversal of 1348420146948 is 8496410248431.

1348420146948 is a `hidden beast` number, since 1 + 34 + 8 + 420 + 146 + 9 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1348420146937) and next prime (1348420146959).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1348420146894 and 1348420146903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 269519815 + ... + 269524817.

Almost surely, 21348420146948 is an apocalyptic number.

1348420146948 is a gapful number since it is divisible by the number (18) 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 1348420146948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030628644352).

1348420146948 is an abundant number, since it is smaller than the sum of its proper divisors (2712837141756).

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

1348420146948 is a wasteful number, since it uses less digits than its factorization.

1348420146948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1348420146948 in words is "one trillion, three hundred forty-eight billion, four hundred twenty million, one hundred forty-six thousand, nine hundred forty-eight".