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40011000024 = 23329227253247
BaseRepresentation
bin100101010000110101…
…110110100011011000
310211021102202101200210
4211100311312203120
51123420304000044
630214130331120
72614336613562
oct452065664330
9124242671623
1040011000024
1115a72191576
127907729aa0
133a08434358
141d17c32332
15109295b1b9
hex950d768d8

40011000024 has 64 divisors (see below), whose sum is σ = 103932979200. Its totient is φ = 12820325504.

The previous prime is 40010999999. The next prime is 40011000041. The reversal of 40011000024 is 42000011004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40010999973 and 40011000009.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31369 + ... + 284615.

It is an arithmetic number, because the mean of its divisors is an integer number (1623952800).

Almost surely, 240011000024 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 40011000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51966489600).

40011000024 is an abundant number, since it is smaller than the sum of its proper divisors (63921979176).

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

40011000024 is a wasteful number, since it uses less digits than its factorization.

40011000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253512 (or 253508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 40011000024 its reverse (42000011004), we get a palindrome (82011011028).

The spelling of 40011000024 in words is "forty billion, eleven million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 227 232 348 454 681 696 908 1362 1816 2724 5448 6583 13166 19749 26332 39498 52664 78996 157992 253247 506494 759741 1012988 1519482 2025976 3038964 6077928 7344163 14688326 22032489 29376652 44064978 57487069 58753304 88129956 114974138 172461207 176259912 229948276 344922414 459896552 689844828 1379689656 1667125001 3334250002 5001375003 6668500004 10002750006 13337000008 20005500012 40011000024