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1340367676736 = 26112643269183
BaseRepresentation
bin10011100000010100001…
…000111010010101000000
311202010201112020220101112
4103200110020322111000
5133430033111123421
62503431215022452
7165560363161124
oct23402410722500
94663645226345
101340367676736
114774a0679200
1219793250aa28
139951c3b19aa
1448c34905584
1524cecd3845b
hex1381423a540

1340367676736 has 84 divisors (see below), whose sum is σ = 2928130791936. Its totient is φ = 608308250880.

The previous prime is 1340367676733. The next prime is 1340367676763. The reversal of 1340367676736 is 6376767630431.

It is a super-2 number, since 2×13403676767362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340367676733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4844801 + ... + 5113983.

It is an arithmetic number, because the mean of its divisors is an integer number (34858699904).

Almost surely, 21340367676736 is an apocalyptic number.

1340367676736 is a gapful number since it is divisible by the number (16) 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 1340367676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464065395968).

1340367676736 is an abundant number, since it is smaller than the sum of its proper divisors (1587763115200).

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

1340367676736 is a wasteful number, since it uses less digits than its factorization.

1340367676736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269860 (or 269839 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 59.

The spelling of 1340367676736 in words is "one trillion, three hundred forty billion, three hundred sixty-seven million, six hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 643 704 968 1286 1936 2572 3872 5144 7073 7744 10288 14146 20576 28292 41152 56584 77803 113168 155606 226336 269183 311212 452672 538366 622424 1076732 1244848 2153464 2489696 2961013 4306928 4979392 5922026 8613856 11844052 17227712 23688104 32571143 47376208 65142286 94752416 130284572 173084669 189504832 260569144 346169338 521138288 692338676 1042276576 1384677352 1903931359 2084553152 2769354704 3807862718 5538709408 7615725436 11077418816 15231450872 20943244949 30462901744 41886489898 60925803488 83772979796 121851606976 167545959592 335091919184 670183838368 1340367676736