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1340343033040 = 2451119766910453
BaseRepresentation
bin10011100000010010101…
…010111001110011010000
311202010122210212212121001
4103200102222321303100
5133430010304024130
62503424534511344
7165556643541454
oct23402252716320
94663583785531
101340343033040
11477488777010
12197926205554
1399517263a1b
1448c3152c664
1524ceaabb6ca
hex13812ab9cd0

1340343033040 has 160 divisors (see below), whose sum is σ = 3579332515200. Its totient is φ = 461640591360.

The previous prime is 1340343033013. The next prime is 1340343033041. The reversal of 1340343033040 is 403303430431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340343033041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128220454 + ... + 128230906.

It is an arithmetic number, because the mean of its divisors is an integer number (22370828220).

Almost surely, 21340343033040 is an apocalyptic number.

1340343033040 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 1340343033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789666257600).

1340343033040 is an abundant number, since it is smaller than the sum of its proper divisors (2238989482160).

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

1340343033040 is a wasteful number, since it uses less digits than its factorization.

1340343033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18165 (or 18159 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 1340343033040 its reverse (403303430431), we get a palindrome (1743646463471).

The spelling of 1340343033040 in words is "one trillion, three hundred forty billion, three hundred forty-three million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 7669 8360 10453 15338 16720 20906 30676 38345 41812 52265 61352 76690 83624 84359 104530 114983 122704 145711 153380 167248 168718 198607 209060 229966 291422 306760 337436 397214 418120 421795 459932 574915 582844 613520 674872 728555 794428 836240 843590 919864 993035 1149830 1165688 1349744 1457110 1588856 1602821 1687180 1839728 1986070 2184677 2299660 2331376 2914220 3177712 3205642 3374360 3972140 4369354 4599320 5828440 6411284 6748720 7944280 8014105 8738708 9198640 10923385 11656880 12822568 15888560 16028210 17477416 21846770 25645136 32056420 34954832 43693540 64112840 80164057 87387080 128225680 160328114 174774160 320656228 400820285 641312456 801640570 881804627 1282624912 1523117083 1603281140 1763609254 3046234166 3206562280 3527218508 4409023135 6092468332 6413124560 7054437016 7615585415 8818046270 12184936664 14108874032 15231170830 16754287913 17636092540 24369873328 30462341660 33508575826 35272185080 60924683320 67017151652 70544370160 83771439565 121849366640 134034303304 167542879130 268068606608 335085758260 670171516520 1340343033040