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10146144471 = 310332835419
BaseRepresentation
bin10010111001100000…
…11110000011010111
3222012002202112122120
421130300132003113
5131234403110341
64354443031023
7506300543061
oct113460360327
928162675576
1010146144471
114337263571
121b71b0b473
13c590694a8
146c3726731
153e5b2a066
hex25cc1e0d7

10146144471 has 8 divisors (see below), whose sum is σ = 13659534720. Its totient is φ = 6698425272.

The previous prime is 10146144467. The next prime is 10146144557. The reversal of 10146144471 is 17444164101.

10146144471 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10146144471 - 22 = 10146144467 is a prime.

It is a super-3 number, since 3×101461444713 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146144451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16417401 + ... + 16418018.

It is an arithmetic number, because the mean of its divisors is an integer number (1707441840).

Almost surely, 210146144471 is an apocalyptic number.

10146144471 is a deficient number, since it is larger than the sum of its proper divisors (3513390249).

10146144471 is a wasteful number, since it uses less digits than its factorization.

10146144471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32835525.

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10146144471 in words is "ten billion, one hundred forty-six million, one hundred forty-four thousand, four hundred seventy-one".

Divisors: 1 3 103 309 32835419 98506257 3382048157 10146144471