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148894113424 = 2472137812
BaseRepresentation
bin1000101010101011000…
…1111101111010010000
3112020022200112122200111
42022222301331322100
54414413343112144
6152222341331104
713520510040100
oct2125261757220
9466280478614
10148894113424
1158166933201
1224a34406a94
131106b41a2c4
1472c695d200
153d16984534
hex22aac7de90

148894113424 has 45 divisors (see below), whose sum is σ = 335605855881. Its totient is φ = 63807132480.

The previous prime is 148894113367. The next prime is 148894113479. The reversal of 148894113424 is 424311498841.

The square root of 148894113424 is 385868.

It is a perfect power (a square), and thus also a powerful number.

148894113424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 85107559824 + 63786553600 = 291732^2 + 252560^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 10797414 + ... + 10811194.

Almost surely, 2148894113424 is an apocalyptic number.

148894113424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

148894113424 is the 385868-th square number.

It is an amenable number.

148894113424 is an abundant number, since it is smaller than the sum of its proper divisors (186711742457).

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

148894113424 is an frugal number, since it uses more digits than its factorization.

148894113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27584 (or 13790 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

Multiplying 148894113424 by its sum of digits (49), we get a square (7295811557776 = 27010762).

148894113424 divided by its sum of digits (49) gives a square (3038655376 = 551242).

The spelling of 148894113424 in words is "one hundred forty-eight billion, eight hundred ninety-four million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 13781 27562 55124 96467 110248 192934 220496 385868 675269 771736 1350538 1543472 2701076 5402152 10804304 189915961 379831922 759663844 1329411727 1519327688 2658823454 3038655376 5317646908 9305882089 10635293816 18611764178 21270587632 37223528356 74447056712 148894113424