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40135205352 = 23311234739829
BaseRepresentation
bin100101011000001111…
…101010000111101000
310211121002110200101010
4211120033222013220
51124144103032402
630234324423520
72620405421334
oct453017520750
9124532420333
1040135205352
1116026305900
127941247ba0
133a280a1428
141d2a5247c4
15109d7e2a6c
hex9583ea1e8

40135205352 has 96 divisors (see below), whose sum is σ = 110609503200. Its totient is φ = 12126829440.

The previous prime is 40135205347. The next prime is 40135205377. The reversal of 40135205352 is 25350253104.

It is a super-2 number, since 2×401352053522 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 987774 + ... + 1027602.

It is an arithmetic number, because the mean of its divisors is an integer number (1152182325).

Almost surely, 240135205352 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 40135205352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55304751600).

40135205352 is an abundant number, since it is smaller than the sum of its proper divisors (70474297848).

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

40135205352 is a wasteful number, since it uses less digits than its factorization.

40135205352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40207 (or 40192 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 40135205352 its reverse (25350253104), we get a palindrome (65485458456).

The spelling of 40135205352 in words is "forty billion, one hundred thirty-five million, two hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 347 363 484 694 726 968 1041 1388 1452 2082 2776 2904 3817 4164 7634 8328 11451 15268 22902 30536 39829 41987 45804 79658 83974 91608 119487 125961 159316 167948 238974 251922 318632 335896 438119 477948 503844 876238 955896 1007688 1314357 1752476 2628714 3504952 4819309 5257428 9638618 10514856 13820663 14457927 19277236 27641326 28915854 38554472 41461989 55282652 57831708 82923978 110565304 115663416 152027293 165847956 304054586 331695912 456081879 608109172 912163758 1216218344 1672300223 1824327516 3344600446 3648655032 5016900669 6689200892 10033801338 13378401784 20067602676 40135205352