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146240144 = 2431535563
BaseRepresentation
bin10001011011101…
…11001010010000
3101012011202202122
420231313022100
5244414141034
622302233412
73424010051
oct1055671220
9335152678
10146240144
1175604426
1240b85868
13243b373b
14155ca728
15cc8a62e
hex8b77290

146240144 has 40 divisors (see below), whose sum is σ = 298052352. Its totient is φ = 69413760.

The previous prime is 146240117. The next prime is 146240167. The reversal of 146240144 is 441042641.

It is a super-3 number, since 3×1462401443 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23507 + ... + 29069.

Almost surely, 2146240144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149026176).

146240144 is an abundant number, since it is smaller than the sum of its proper divisors (151812208).

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

146240144 is a wasteful number, since it uses less digits than its factorization.

146240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 146240144 is about 12092.9791201341. The cubic root of 146240144 is about 526.8522858694.

Adding to 146240144 its reverse (441042641), we get a palindrome (587282785).

The spelling of 146240144 in words is "one hundred forty-six million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 848 1643 3286 5563 6572 11126 13144 22252 26288 44504 89008 172453 294839 344906 589678 689812 1179356 1379624 2358712 2759248 4717424 9140009 18280018 36560036 73120072 146240144