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40013433344 = 29195417603
BaseRepresentation
bin100101010000111111…
…001000101000000000
310211021121100000120202
4211100333020220000
51123421414331334
630214254424332
72614366400033
oct452077105000
9124247300522
1040013433344
1115a735a3785
1279085020a8
133a08aa6aa1
141d182a701a
151092c8c17e
hex950fc8a00

40013433344 has 80 divisors (see below), whose sum is σ = 84323189280. Its totient is φ = 18916208640.

The previous prime is 40013433337. The next prime is 40013433349. The reversal of 40013433344 is 44333431004.

It is not an unprimeable number, because it can be changed into a prime (40013433349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5259047 + ... + 5266649.

It is an arithmetic number, because the mean of its divisors is an integer number (1054039866).

Almost surely, 240013433344 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 40013433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42161594640).

40013433344 is an abundant number, since it is smaller than the sum of its proper divisors (44309755936).

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

40013433344 is an equidigital number, since it uses as much as digits as its factorization.

40013433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8181 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 40013433344 its reverse (44333431004), we get a palindrome (84346864348).

The spelling of 40013433344 in words is "forty billion, thirteen million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 541 608 1082 1216 2164 2432 4328 4864 7603 8656 9728 10279 15206 17312 20558 30412 34624 41116 60824 69248 82232 121648 138496 144457 164464 243296 276992 288914 328928 486592 577828 657856 973184 1155656 1315712 1946368 2311312 2631424 3892736 4113223 4622624 5262848 8226446 9245248 16452892 18490496 32905784 36980992 65811568 73961984 78151237 131623136 156302474 263246272 312604948 526492544 625209896 1052985088 1250419792 2105970176 2500839584 5001679168 10003358336 20006716672 40013433344