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1340122010208 = 253411133013081
BaseRepresentation
bin10011100000000101011…
…111110001001001100000
311202010002101222202021020
4103200011133301021200
5133424032213311313
62503351001325440
7165551321065152
oct23400537611140
94663071882236
101340122010208
11477384a35313
12197884196880
13994b0528897
1448c10036ad2
1524cd64ad323
hex138057f1260

1340122010208 has 96 divisors (see below), whose sum is σ = 3635512427232. Its totient is φ = 431955148800.

The previous prime is 1340122010207. The next prime is 1340122010273. The reversal of 1340122010208 is 8020102210431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340122010203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061773 + ... + 1951308.

It is an arithmetic number, because the mean of its divisors is an integer number (37869921117).

Almost surely, 21340122010208 is an apocalyptic number.

It is an amenable number.

1340122010208 is an abundant number, since it is smaller than the sum of its proper divisors (2295390417024).

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

1340122010208 is a wasteful number, since it uses less digits than its factorization.

1340122010208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013248 (or 3013240 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1340122010208 its reverse (8020102210431), we get a palindrome (9360224220639).

The spelling of 1340122010208 in words is "one trillion, three hundred forty billion, one hundred twenty-two million, ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 113 123 164 226 246 328 339 452 492 656 678 904 984 1312 1356 1808 1968 2712 3616 3936 4633 5424 9266 10848 13899 18532 27798 37064 55596 74128 111192 148256 222384 444768 3013081 6026162 9039243 12052324 18078486 24104648 36156972 48209296 72313944 96418592 123536321 144627888 247072642 289255776 340478153 370608963 494145284 680956306 741217926 988290568 1021434459 1361912612 1482435852 1976581136 2042868918 2723825224 2964871704 3953162272 4085737836 5447650448 5929743408 8171475672 10895300896 11859486816 13959604273 16342951344 27919208546 32685902688 41878812819 55838417092 83757625638 111676834184 167515251276 223353668368 335030502552 446707336736 670061005104 1340122010208