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1340410442140 = 2257111697512903
BaseRepresentation
bin10011100000010110101…
…100000011000110011100
311202010211111201121111101
4103200112230003012130
5133430130033122030
62503435343402444
7165561422524450
oct23402654030634
94663744647441
101340410442140
11477512828510
121979448b3424
1399528206173
1448c3a478660
1524d019847ca
hex13816b0319c

1340410442140 has 96 divisors (see below), whose sum is σ = 3511513119744. Its totient is φ = 417543260160.

The previous prime is 1340410442017. The next prime is 1340410442249. The reversal of 1340410442140 is 412440140431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1340410442099 and 1340410442108.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2356929 + ... + 2869831.

It is an arithmetic number, because the mean of its divisors is an integer number (36578261664).

Almost surely, 21340410442140 is an apocalyptic number.

1340410442140 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 1340410442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755756559872).

1340410442140 is an abundant number, since it is smaller than the sum of its proper divisors (2171102677604).

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

1340410442140 is a wasteful number, since it uses less digits than its factorization.

1340410442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514627 (or 514625 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1340410442140 its reverse (412440140431), we get a palindrome (1752850582571).

The spelling of 1340410442140 in words is "one trillion, three hundred forty billion, four hundred ten million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1697 3394 6788 8485 11879 16970 18667 23758 33940 37334 47516 59395 74668 93335 118790 130669 186670 237580 261338 373340 512903 522676 653345 1025806 1306690 2051612 2564515 2613380 3590321 5129030 5641933 7180642 10258060 11283866 14361284 17951605 22567732 28209665 35903210 39493531 56419330 71806420 78987062 112838660 157974124 197467655 394935310 789870620 870396391 1740792782 3481585564 4351981955 6092774737 8703963910 9574360301 12185549474 17407927820 19148720602 24371098948 30463873685 38297441204 47871801505 60927747370 67020522107 95743603010 121855494740 134041044214 191487206020 268082088428 335102610535 670205221070 1340410442140