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1340441335232 = 26293123399989
BaseRepresentation
bin10011100000011000100…
…001111001010111000000
311202010220122212010211222
4103200120201321113000
5133430210440211412
62503442405454212
7165562246232666
oct23403041712700
94663818763758
101340441335232
1147752920899a
12197953111368
13995317317bc
1448c405dac36
1524d04538072
hex138188795c0

1340441335232 has 112 divisors (see below), whose sum is σ = 2852642707200. Its totient is φ = 623541166080.

The previous prime is 1340441335229. The next prime is 1340441335237. The reversal of 1340441335232 is 2325331440431.

It is a junction number, because it is equal to n+sod(n) for n = 1340441335192 and 1340441335201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340441335237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13355894 + ... + 13455882.

Almost surely, 21340441335232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340441335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426321353600).

1340441335232 is an abundant number, since it is smaller than the sum of its proper divisors (1512201371968).

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

1340441335232 is a wasteful number, since it uses less digits than its factorization.

1340441335232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100294 (or 100284 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 1340441335232 its reverse (2325331440431), we get a palindrome (3665772775663).

The spelling of 1340441335232 in words is "one trillion, three hundred forty billion, four hundred forty-one million, three hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 233 248 464 466 496 899 928 932 992 1798 1856 1864 1984 3596 3728 6757 7192 7223 7456 13514 14384 14446 14912 27028 28768 28892 54056 57536 57784 99989 108112 115568 199978 209467 216224 231136 399956 418934 432448 462272 799912 837868 1599824 1675736 2899681 3099659 3199648 3351472 5799362 6199318 6399296 6702944 11598724 12398636 13405888 23197448 23297437 24797272 46394896 46594874 49594544 89890111 92789792 93189748 99189088 179780222 185579584 186379496 198378176 359560444 372758992 675625673 719120888 722220547 745517984 1351251346 1438241776 1444441094 1491035968 2702502692 2876483552 2888882188 5405005384 5752967104 5777764376 10810010768 11555528752 20944395863 21620021536 23111057504 41888791726 43240043072 46222115008 83777583452 167555166904 335110333808 670220667616 1340441335232