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146138811 = 37134359211
BaseRepresentation
bin10001011010111…
…10011010111011
3101011222121202120
420231132122323
5244402420221
622300132323
73423105450
oct1055363273
9334877676
10146138811
1175545285
1240b370a3
1324379590
14155a1827
15cc6a5c6
hex8b5e6bb

146138811 has 64 divisors (see below), whose sum is σ = 250736640. Its totient is φ = 73664640.

The previous prime is 146138689. The next prime is 146138831. The reversal of 146138811 is 118831641.

It is a happy number.

It is not a de Polignac number, because 146138811 - 211 = 146136763 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146138831) 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 63 ways as a sum of consecutive naturals, for example, 692496 + ... + 692706.

It is an arithmetic number, because the mean of its divisors is an integer number (3917760).

Almost surely, 2146138811 is an apocalyptic number.

146138811 is a deficient number, since it is larger than the sum of its proper divisors (104597829).

146138811 is a wasteful number, since it uses less digits than its factorization.

146138811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its digits is 4608, while the sum is 33.

The square root of 146138811 is about 12088.7886489921. The cubic root of 146138811 is about 526.7305685873.

The spelling of 146138811 in words is "one hundred forty-six million, one hundred thirty-eight thousand, eight hundred eleven".

Divisors: 1 3 7 13 21 39 43 59 91 129 177 211 273 301 413 559 633 767 903 1239 1477 1677 2301 2537 2743 3913 4431 5369 7611 8229 9073 11739 12449 16107 17759 19201 27219 32981 37347 53277 57603 63511 87143 98943 117949 161837 190533 230867 261429 353847 485511 535307 692601 825643 1132859 1605921 2476929 3398577 3747149 6958991 11241447 20876973 48712937 146138811