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10333234333040 = 2452657303716007
BaseRepresentation
bin1001011001011110010011…
…0000110000010101110000
31100120211212212102022210012
42112113210300300111300
52323244430442124130
633551004453154052
72114360115422123
oct226274460602560
940524785368705
1010333234333040
113324333437663
1211aa79732b928
1359c55c44c048
1427a1ba0803ba
1512dbd015b995
hex965e4c30570

10333234333040 has 80 divisors (see below), whose sum is σ = 24043227509952. Its totient is φ = 4130119606272.

The previous prime is 10333234333021. The next prime is 10333234333049. The reversal of 10333234333040 is 4033343233301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×103332343330402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10333234332988 and 10333234333006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333234333049) 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, 645536717 + ... + 645552723.

Almost surely, 210333234333040 is an apocalyptic number.

10333234333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10333234333040 is an abundant number, since it is smaller than the sum of its proper divisors (13709993176912).

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

10333234333040 is a wasteful number, since it uses less digits than its factorization.

10333234333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21714 (or 21708 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 32.

Adding to 10333234333040 its reverse (4033343233301), we get a palindrome (14366577566341).

The spelling of 10333234333040 in words is "ten trillion, three hundred thirty-three billion, two hundred thirty-four million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2657 3037 5314 6074 10628 12148 13285 15185 16007 21256 24296 26570 30370 32014 42512 48592 53140 60740 64028 80035 106280 121480 128056 160070 212560 242960 256112 320140 640280 1280560 8069309 16138618 32277236 40346545 42530599 48613259 64554472 80693090 85061198 97226518 129108944 161386180 170122396 194453036 212652995 243066295 322772360 340244792 388906072 425305990 486132590 645544720 680489584 777812144 850611980 972265180 1701223960 1944530360 3402447920 3889060720 129165429163 258330858326 516661716652 645827145815 1033323433304 1291654291630 2066646866608 2583308583260 5166617166520 10333234333040