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40135344513 = 31129223918731
BaseRepresentation
bin100101011000010000…
…001100000110000001
310211121002201202021020
4211120100030012001
51124144122011023
630234331420053
72620406541135
oct453020140601
9124532652236
1040135344513
11160263a0410
1279412b4629
133a2811c884
141d2a55d3c5
15109d81dde3
hex95840c181

40135344513 has 32 divisors (see below), whose sum is σ = 60421939200. Its totient is φ = 23473934400.

The previous prime is 40135344511. The next prime is 40135344551. The reversal of 40135344513 is 31544353104.

It is not a de Polignac number, because 40135344513 - 21 = 40135344511 is a prime.

It is a super-2 number, since 2×401353445132 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40135344511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133358 + ... + 2152088.

It is an arithmetic number, because the mean of its divisors is an integer number (1888185600).

Almost surely, 240135344513 is an apocalyptic number.

It is an amenable number.

40135344513 is a deficient number, since it is larger than the sum of its proper divisors (20286594687).

40135344513 is a wasteful number, since it uses less digits than its factorization.

40135344513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21013.

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 40135344513 its reverse (31544353104), we get a palindrome (71679697617).

The spelling of 40135344513 in words is "forty billion, one hundred thirty-five million, three hundred forty-four thousand, five hundred thirteen".

Divisors: 1 3 11 29 33 87 319 957 2239 6717 18731 24629 56193 64931 73887 194793 206041 543199 618123 714241 1629597 2142723 5975189 17925567 41938709 125816127 461325799 1216222561 1383977397 3648667683 13378448171 40135344513