Search a number
-
+
1331040432340 = 2251731731729927
BaseRepresentation
bin10011010111101000001…
…100010011000011010100
311201020122111101210110101
4103113220030103003110
5133301432322313330
62455245503503444
7165110264666563
oct23275014230324
94636574353411
101331040432340
11473544695463
12195b6a8b7b84
1398693bb4c78
14485cbc67bda
152495406a4ca
hex135e83130d4

1331040432340 has 96 divisors (see below), whose sum is σ = 3096930945024. Its totient is φ = 478289940480.

The previous prime is 1331040432329. The next prime is 1331040432461. The reversal of 1331040432340 is 432340401331.

It is a junction number, because it is equal to n+sod(n) for n = 1331040432299 and 1331040432308.

It is a congruent number.

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, 95544 + ... + 1634383.

It is an arithmetic number, because the mean of its divisors is an integer number (32259697344).

Almost surely, 21331040432340 is an apocalyptic number.

1331040432340 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 1331040432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548465472512).

1331040432340 is an abundant number, since it is smaller than the sum of its proper divisors (1765890512684).

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

1331040432340 is a wasteful number, since it uses less digits than its factorization.

1331040432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730057 (or 1730055 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1331040432340 its reverse (432340401331), we get a palindrome (1763380833671).

The spelling of 1331040432340 in words is "one trillion, three hundred thirty-one billion, forty million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 73 85 124 146 155 170 292 310 340 365 527 620 730 1054 1241 1460 2108 2263 2482 2635 4526 4964 5270 6205 9052 10540 11315 12410 22630 24820 38471 45260 76942 153884 192355 384710 769420 1729927 3459854 6919708 8649635 17299270 29408759 34598540 53627737 58817518 107255474 117635036 126284671 147043795 214510948 252569342 268138685 294087590 505138684 536277370 588175180 631423355 911671529 1072554740 1262846710 1823343058 2146839407 2525693420 3646686116 3914824801 4293678814 4558357645 7829649602 8587357628 9116715290 10734197035 15659299204 18233430580 19574124005 21468394070 39148248010 42936788140 66552021617 78296496020 133104043234 266208086468 332760108085 665520216170 1331040432340