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1330201440520 = 2351723228737189
BaseRepresentation
bin10011010110110110001…
…011110011000100001000
311201011111000200121001021
4103112312023303010020
5133243223032044040
62455030333202224
7165050426454361
oct23266613630410
94634430617037
101330201440520
11473154042497
12195975930374
139858c12c3c4
144854c66cb68
152490559024a
hex135b62f3108

1330201440520 has 128 divisors (see below), whose sum is σ = 3308327193600. Its totient is φ = 478786277376.

The previous prime is 1330201440509. The next prime is 1330201440551. The reversal of 1330201440520 is 250441020331.

It is a super-2 number, since 2×13302014405202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35750086 + ... + 35787274.

It is an arithmetic number, because the mean of its divisors is an integer number (25846306200).

Almost surely, 21330201440520 is an apocalyptic number.

1330201440520 is a gapful number since it is divisible by the number (10) 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 1330201440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654163596800).

1330201440520 is an abundant number, since it is smaller than the sum of its proper divisors (1978125753080).

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

1330201440520 is a wasteful number, since it uses less digits than its factorization.

1330201440520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39527 (or 39523 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1330201440520 its reverse (250441020331), we get a palindrome (1580642460851).

The spelling of 1330201440520 in words is "one trillion, three hundred thirty billion, two hundred one million, four hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 2287 3128 3910 4574 7820 9148 11435 15640 18296 22870 37189 38879 45740 52601 74378 77758 91480 105202 148756 155516 185945 194395 210404 263005 297512 311032 371890 388790 420808 526010 632213 743780 777580 855347 894217 1052020 1264426 1487560 1555160 1710694 1788434 2104040 2528852 3161065 3421388 3576868 4276735 4471085 5057704 6322130 6842776 7153736 8553470 8942170 12644260 14540899 17106940 17884340 25288520 29081798 34213880 35768680 58163596 72704495 85051243 116327192 145408990 170102486 290817980 340204972 425256215 581635960 680409944 850512430 1445871131 1701024860 1956178589 2891742262 3402049720 3912357178 5783484524 7229355655 7824714356 9780892945 11566969048 14458711310 15649428712 19561785890 28917422620 33255036013 39123571780 57834845240 66510072026 78247143560 133020144052 166275180065 266040288104 332550360130 665100720260 1330201440520