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10332322343040 = 27355381417887
BaseRepresentation
bin1001011001011010111001…
…1001110010100010000000
31100120202112022100102200210
42112112232121302202000
52323241044004434130
633550334154114120
72114325402555135
oct226265631624200
940522468312623
1010332322343040
113323a05666015
1211aa581a1b940
1359c4455180a9
1427a130cc258c
1512db7a0625b0
hex965ae672880

10332322343040 has 64 divisors (see below), whose sum is σ = 32934277474560. Its totient is φ = 2755285957632.

The previous prime is 10332322343039. The next prime is 10332322343047. The reversal of 10332322343040 is 4034322323301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10332322342989 and 10332322343007.

It is not an unprimeable number, because it can be changed into a prime (10332322343047) 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 7 ways as a sum of consecutive naturals, for example, 2690707024 + ... + 2690710863.

It is an arithmetic number, because the mean of its divisors is an integer number (514598085540).

Almost surely, 210332322343040 is an apocalyptic number.

10332322343040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332322343040 is an abundant number, since it is smaller than the sum of its proper divisors (22601955131520).

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

10332322343040 is an equidigital number, since it uses as much as digits as its factorization.

10332322343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381417909 (or 5381417897 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 10332322343040 its reverse (4034322323301), we get a palindrome (14366644666341).

The spelling of 10332322343040 in words is "ten trillion, three hundred thirty-two billion, three hundred twenty-two million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5381417887 10762835774 16144253661 21525671548 26907089435 32288507322 43051343096 53814178870 64577014644 80721268305 86102686192 107628357740 129154029288 161442536610 172205372384 215256715480 258308058576 322885073220 344410744768 430513430960 516616117152 645770146440 688821489536 861026861920 1033232234304 1291540292880 1722053723840 2066464468608 2583080585760 3444107447680 5166161171520 10332322343040