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32440114344 = 23311732397043
BaseRepresentation
bin11110001101100101…
…001101110010101000
310002201210210112222110
4132031211031302220
51012414132124334
622523000122320
72225616264561
oct361545156250
9102653715873
1032440114344
1112837665060
1263541663a0
13309ca87641
1417da54b168
15c9ce75ae9
hex78d94dca8

32440114344 has 128 divisors (see below), whose sum is σ = 90073036800. Its totient is φ = 9653736960.

The previous prime is 32440114321. The next prime is 32440114409. The reversal of 32440114344 is 44341104423.

It is a super-2 number, since 2×324401143442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602487 + ... + 4609529.

It is an arithmetic number, because the mean of its divisors is an integer number (703695600).

Almost surely, 232440114344 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 32440114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45036518400).

32440114344 is an abundant number, since it is smaller than the sum of its proper divisors (57632922456).

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

32440114344 is a wasteful number, since it uses less digits than its factorization.

32440114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 32440114344 its reverse (44341104423), we get a palindrome (76781218767).

The spelling of 32440114344 in words is "thirty-two billion, four hundred forty million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 239 264 292 438 478 584 717 803 876 956 1434 1606 1752 1912 2409 2629 2868 3212 4818 5258 5736 6424 7043 7887 9636 10516 14086 15774 17447 19272 21032 21129 28172 31548 34894 42258 52341 56344 63096 69788 77473 84516 104682 139576 154946 169032 191917 209364 232419 309892 383834 418728 464838 514139 575751 619784 767668 929676 1028278 1151502 1535336 1542417 1683277 1859352 2056556 2303004 3084834 3366554 4113112 4606008 5049831 5655529 6169668 6733108 10099662 11311058 12339336 13466216 16966587 18516047 20199324 22622116 33933174 37032094 40398648 45244232 55548141 67866348 74064188 111096282 122879221 135732696 148128376 222192564 245758442 368637663 444385128 491516884 737275326 983033768 1351671431 1474550652 2703342862 2949101304 4055014293 5406685724 8110028586 10813371448 16220057172 32440114344