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40332422112 = 25310119920903
BaseRepresentation
bin100101100011111111…
…111110101111100000
310212002211120022220120
4211203333332233200
51130100100001422
630310051440240
72625321634323
oct454377765740
9125084508816
1040332422112
1116117667764
1279972b6080
133a59bc2938
141d487c07ba
1510b0c9c45c
hex963ffebe0

40332422112 has 96 divisors (see below), whose sum is σ = 107463283200. Its totient is φ = 13243507200.

The previous prime is 40332422101. The next prime is 40332422149. The reversal of 40332422112 is 21122423304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1919053 + ... + 1939955.

It is an arithmetic number, because the mean of its divisors is an integer number (1119409200).

Almost surely, 240332422112 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 40332422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53731641600).

40332422112 is an abundant number, since it is smaller than the sum of its proper divisors (67130861088).

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

40332422112 is a wasteful number, since it uses less digits than its factorization.

40332422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21216 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40332422112 its reverse (21122423304), we get a palindrome (61454845416).

The spelling of 40332422112 in words is "forty billion, three hundred thirty-two million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 199 202 303 398 404 597 606 796 808 1194 1212 1592 1616 2388 2424 3184 3232 4776 4848 6368 9552 9696 19104 20099 20903 40198 41806 60297 62709 80396 83612 120594 125418 160792 167224 241188 250836 321584 334448 482376 501672 643168 668896 964752 1003344 1929504 2006688 2111203 4159697 4222406 6333609 8319394 8444812 12479091 12667218 16638788 16889624 24958182 25334436 33277576 33779248 49916364 50668872 66555152 67558496 99832728 101337744 133110304 199665456 202675488 399330912 420129397 840258794 1260388191 1680517588 2520776382 3361035176 5041552764 6722070352 10083105528 13444140704 20166211056 40332422112