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40011531012 = 223315711632029
BaseRepresentation
bin100101010000110111…
…111000001100000100
310211021110202101002000
4211100313320030010
51123420422443022
630214145545300
72614344254625
oct452067701404
9124243671060
1040011531012
1115a72514502
127907945230
133a0858bc4b
141d17d2da4c
151092a136ac
hex950df8304

40011531012 has 96 divisors (see below), whose sum is σ = 104535580800. Its totient is φ = 13234306176.

The previous prime is 40011531011. The next prime is 40011531023. The reversal of 40011531012 is 21013511004.

It is a super-2 number, since 2×400115310122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40011531011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19718814 + ... + 19720842.

It is an arithmetic number, because the mean of its divisors is an integer number (1088912300).

Almost surely, 240011531012 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 40011531012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52267790400).

40011531012 is an abundant number, since it is smaller than the sum of its proper divisors (64524049788).

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

40011531012 is a wasteful number, since it uses less digits than its factorization.

40011531012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 40011531012 in words is "forty billion, eleven million, five hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1163 1413 1884 2029 2326 2826 3489 4058 4239 4652 5652 6087 6978 8116 8478 10467 12174 13956 16956 18261 20934 24348 31401 36522 41868 54783 62802 73044 109566 125604 182591 219132 318553 365182 547773 637106 730364 955659 1095546 1274212 1643319 1911318 2191092 2359727 2866977 3286638 3822636 4719454 4929957 5733954 6573276 7079181 8600931 9438908 9859914 11467908 14158362 17201862 19719828 21237543 28316724 34403724 42475086 63712629 84950172 127425258 254850516 370477139 740954278 1111431417 1481908556 2222862834 3334294251 4445725668 6668588502 10002882753 13337177004 20005765506 40011531012