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1211342442440 = 235132265967391
BaseRepresentation
bin10001101000001001101…
…000101100111111001000
311021210200112111212221012
4101220021220230333020
5124321312131124230
62324252200303052
7153342123605234
oct21501150547710
94253615455835
101211342442440
11427800257a69
12176924171a88
138a2c9450600
14428b4a995c4
152179a86e395
hex11a09a2cfc8

1211342442440 has 96 divisors (see below), whose sum is σ = 2952456998400. Its totient is φ = 447090059520.

The previous prime is 1211342442439. The next prime is 1211342442493. The reversal of 1211342442440 is 442442431121.

It is a junction number, because it is equal to n+sod(n) for n = 1211342442397 and 1211342442406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17941145 + ... + 18008535.

It is an arithmetic number, because the mean of its divisors is an integer number (30754760400).

Almost surely, 21211342442440 is an apocalyptic number.

1211342442440 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 1211342442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476228499200).

1211342442440 is an abundant number, since it is smaller than the sum of its proper divisors (1741114555960).

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

1211342442440 is a wasteful number, since it uses less digits than its factorization.

1211342442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70087 (or 70070 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1211342442440 its reverse (442442431121), we get a palindrome (1653784873561).

The spelling of 1211342442440 in words is "one trillion, two hundred eleven billion, three hundred forty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 2659 3380 5318 6760 10636 13295 21272 26590 34567 53180 67391 69134 106360 134782 138268 172835 269564 276536 336955 345670 449371 539128 673910 691340 876083 898742 1347820 1382680 1752166 1797484 2246855 2695640 3504332 3594968 4380415 4493710 7008664 8760830 8987420 11389079 17521660 17974840 22778158 35043320 45556316 56945395 91112632 113890790 179192669 227781580 358385338 455563160 716770676 895963345 1433541352 1791926690 2329504697 3583853380 4659009394 7167706760 9318018788 11647523485 18636037576 23295046970 30283561061 46590093940 60567122122 93180187880 121134244244 151417805305 242268488488 302835610610 605671221220 1211342442440