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32440442402312 = 2373729095382119
BaseRepresentation
bin1110110000001001000010…
…00010111011011000001000
311020212021110012121212211022
413120010201002323120020
513223001011223333222
6152554533345252012
76555513255502610
oct730044102733010
9136767405555738
1032440442402312
11a377a0701971a
12377b212634008
131514174c30909
148021a924ba40
153b3cb4e24042
hex1d81210bb608

32440442402312 has 64 divisors (see below), whose sum is σ = 71418579552000. Its totient is φ = 13522636060416.

The previous prime is 32440442402287. The next prime is 32440442402317. The reversal of 32440442402312 is 21320424404423.

It is not an unprimeable number, because it can be changed into a prime (32440442402317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3336389 + ... + 8718507.

It is an arithmetic number, because the mean of its divisors is an integer number (1115915305500).

Almost surely, 232440442402312 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 32440442402312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35709289776000).

32440442402312 is an abundant number, since it is smaller than the sum of its proper divisors (38978137149688).

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

32440442402312 is a wasteful number, since it uses less digits than its factorization.

32440442402312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385078 (or 5385074 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 32440442402312 its reverse (21320424404423), we get a palindrome (53760866806735).

The spelling of 32440442402312 in words is "thirty-two trillion, four hundred forty billion, four hundred forty-two million, four hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 2909 5818 11636 20363 23272 40726 81452 107633 162904 215266 430532 753431 861064 1506862 3013724 5382119 6027448 10764238 21528476 37674833 43056952 75349666 150699332 199138403 301398664 398276806 796553612 1393968821 1593107224 2787937642 5575875284 11151750568 15656584171 31313168342 62626336684 109596089197 125252673368 219192178394 438384356788 579293614327 876768713576 1158587228654 2317174457308 4055055300289 4634348914616 8110110600578 16220221201156 32440442402312