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1344633061240 = 235731193802651
BaseRepresentation
bin10011100100010010011…
…000000011111101111000
311202112201210022212221101
4103210102120003331320
5134012302030424430
62505414345021144
7166101155303350
oct23442230037570
94675653285841
101344633061240
1147928a343767
12198722a847b4
1399a4bca1451
144911b1bbb60
1524e9c530dca
hex13912603f78

1344633061240 has 128 divisors (see below), whose sum is σ = 3587661803520. Its totient is φ = 443833344000.

The previous prime is 1344633061229. The next prime is 1344633061241. The reversal of 1344633061240 is 421603364431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344633061240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344633061241) 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 31 ways as a sum of consecutive naturals, for example, 1273915 + ... + 2076565.

It is an arithmetic number, because the mean of its divisors is an integer number (28028607840).

Almost surely, 21344633061240 is an apocalyptic number.

1344633061240 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 1344633061240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793830901760).

1344633061240 is an abundant number, since it is smaller than the sum of its proper divisors (2243028742280).

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

1344633061240 is a wasteful number, since it uses less digits than its factorization.

1344633061240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802893 (or 802889 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 1344633061240 in words is "one trillion, three hundred forty-four billion, six hundred thirty-three million, sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 193 217 248 280 310 386 434 620 772 868 965 1085 1240 1351 1544 1736 1930 2170 2702 3860 4340 5404 5983 6755 7720 8680 10808 11966 13510 23932 27020 29915 41881 47864 54040 59830 83762 119660 167524 209405 239320 335048 418810 802651 837620 1605302 1675240 3210604 4013255 5618557 6421208 8026510 11237114 16053020 22474228 24882181 28092785 32106040 44948456 49764362 56185570 99528724 112371140 124410905 154911643 174175267 199057448 224742280 248821810 309823286 348350534 497643620 619646572 696701068 774558215 870876335 995287240 1084381501 1239293144 1393402136 1549116430 1741752670 2168763002 3098232860 3483505340 4337526004 4802260933 5421907505 6196465720 6967010680 8675052008 9604521866 10843815010 19209043732 21687630020 24011304665 33615826531 38418087464 43375260040 48022609330 67231653062 96045218660 134463306124 168079132655 192090437320 268926612248 336158265310 672316530620 1344633061240