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1340746888152 = 233759864715643
BaseRepresentation
bin10011100000101010101…
…111011111001111011000
311202011200221210211122210
4103200222233133033120
5133431322200410102
62503533002515120
7165602646340560
oct23405257371730
94664627724583
101340746888152
11477675735371
12197a19505aa0
139957cb24c49
1448c6d017da0
1524d2129236c
hex1382abdf3d8

1340746888152 has 128 divisors (see below), whose sum is σ = 3896332185600. Its totient is φ = 376510197888.

The previous prime is 1340746888139. The next prime is 1340746888157. The reversal of 1340746888152 is 2518886470431.

It is a junction number, because it is equal to n+sod(n) for n = 1340746888092 and 1340746888101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340746888157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85701243 + ... + 85716885.

It is an arithmetic number, because the mean of its divisors is an integer number (30440095200).

Almost surely, 21340746888152 is an apocalyptic number.

1340746888152 is a gapful number since it is divisible by the number (12) 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 1340746888152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948166092800).

1340746888152 is an abundant number, since it is smaller than the sum of its proper divisors (2555585297448).

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

1340746888152 is a wasteful number, since it uses less digits than its factorization.

1340746888152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24365 (or 24361 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 1340746888152 in words is "one trillion, three hundred forty billion, seven hundred forty-six million, eight hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 8647 9912 15643 17294 25941 31286 34588 46929 51882 60529 62572 69176 93858 103764 109501 121058 125144 181587 187716 207528 219002 242116 328503 363174 375432 438004 484232 510173 657006 726348 876008 922937 1020346 1314012 1452696 1530519 1845874 2040692 2628024 2768811 3061038 3571211 3691748 4081384 5537622 6122076 6460559 7142422 7383496 10713633 11075244 12244152 12921118 14284844 19381677 21427266 22150488 25842236 28569688 38763354 42854532 51684472 77526708 85709064 135265021 155053416 270530042 405795063 541060084 811590126 946855147 1082120168 1623180252 1893710294 2840565441 3246360504 3787420588 5681130882 7574841176 7980636239 11362261764 15961272478 22724523528 23941908717 31922544956 47883817434 55864453673 63845089912 95767634868 111728907346 167593361019 191535269736 223457814692 335186722038 446915629384 670373444076 1340746888152