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40470144 = 2731121367
BaseRepresentation
bin1001101001100…
…0011010000000
32211011002121020
42122120122000
540330021034
64003225440
71000663521
oct232303200
984132536
1040470144
1120931900
1211678280
1384cc840
145536848
153846249
hex2698680

40470144 has 192 divisors, whose sum is σ = 129148320. Its totient is φ = 11151360.

The previous prime is 40470137. The next prime is 40470151. The reversal of 40470144 is 44107404.

It is an interprime number because it is at equal distance from previous prime (40470137) and next prime (40470151).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603999 + ... + 604065.

Almost surely, 240470144 is an apocalyptic number.

40470144 is a gapful number since it is divisible by the number (44) 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 40470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64574160).

40470144 is an abundant number, since it is smaller than the sum of its proper divisors (88678176).

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

40470144 is a wasteful number, since it uses less digits than its factorization.

40470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 40470144 is about 6361.6148893186. The cubic root of 40470144 is about 343.3298653832.

Adding to 40470144 its reverse (44107404), we get a palindrome (84577548).

The spelling of 40470144 in words is "forty million, four hundred seventy thousand, one hundred forty-four".