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40122324440 = 23511431211571
BaseRepresentation
bin100101010111011110…
…100001010111011000
310211120012020021002022
4211113132201113120
51124132303340230
630233144354012
72620161062552
oct452736412730
9124505207068
1040122324440
111601a008220
127938a75908
133a255114a3
141d289304d2
15109c5eb1e5
hex9577a15d8

40122324440 has 64 divisors (see below), whose sum is σ = 98711032320. Its totient is φ = 14556016000.

The previous prime is 40122324433. The next prime is 40122324443. The reversal of 40122324440 is 4442322104.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122324443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83855 + ... + 295425.

It is an arithmetic number, because the mean of its divisors is an integer number (1542359880).

Almost surely, 240122324440 is an apocalyptic number.

40122324440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40122324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49355516160).

40122324440 is an abundant number, since it is smaller than the sum of its proper divisors (58588707880).

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

40122324440 is a wasteful number, since it uses less digits than its factorization.

40122324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212024 (or 212020 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40122324440 its reverse (4442322104), we get a palindrome (44564646544).

The spelling of 40122324440 in words is "forty billion, one hundred twenty-two million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 431 440 862 1724 2155 3448 4310 4741 8620 9482 17240 18964 23705 37928 47410 94820 189640 211571 423142 846284 1057855 1692568 2115710 2327281 4231420 4654562 8462840 9309124 11636405 18618248 23272810 46545620 91187101 93091240 182374202 364748404 455935505 729496808 911871010 1003058111 1823742020 2006116222 3647484040 4012232444 5015290555 8024464888 10030581110 20061162220 40122324440