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146400441 = 3112478581
BaseRepresentation
bin10001011100111…
…10010010111001
3101012110220122120
420232132102321
5244434303231
622305511453
73425245305
oct1056362271
9335426576
10146400441
1175703900
1241042589
132443b6a5
141562cd05
15ccbcd96
hex8b9e4b9

146400441 has 24 divisors (see below), whose sum is σ = 219149952. Its totient is φ = 86829600.

The previous prime is 146400391. The next prime is 146400521. The reversal of 146400441 is 144004641.

It is not a de Polignac number, because 146400441 - 213 = 146392249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146400041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12771 + ... + 21351.

It is an arithmetic number, because the mean of its divisors is an integer number (9131248).

Almost surely, 2146400441 is an apocalyptic number.

146400441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146400441 is a deficient number, since it is larger than the sum of its proper divisors (72749511).

146400441 is a wasteful number, since it uses less digits than its factorization.

146400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8653 (or 8642 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 146400441 is about 12099.6049935525. The cubic root of 146400441 is about 527.0447136585.

The spelling of 146400441 in words is "one hundred forty-six million, four hundred thousand, four hundred forty-one".

Divisors: 1 3 11 33 47 121 141 363 517 1551 5687 8581 17061 25743 94391 283173 403307 1038301 1209921 3114903 4436377 13309131 48800147 146400441