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140134304440 = 235135312740037
BaseRepresentation
bin1000001010000010100…
…1111100101010111000
3111101201012102020210201
42002200221330222320
54243443340220230
6144213220251544
713060441635304
oct2024051745270
9441635366721
10140134304440
1154481186049
12231aa840bb4
13102a3656a90
146ad53ccd04
1539a29005ca
hex20a0a7cab8

140134304440 has 128 divisors (see below), whose sum is σ = 348695746560. Its totient is φ = 50364647424.

The previous prime is 140134304437. The next prime is 140134304441. The reversal of 140134304440 is 44403431041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 140134304399 and 140134304408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140134304441) 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, 3480102 + ... + 3520138.

It is an arithmetic number, because the mean of its divisors is an integer number (2724185520).

Almost surely, 2140134304440 is an apocalyptic number.

140134304440 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 140134304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174347873280).

140134304440 is an abundant number, since it is smaller than the sum of its proper divisors (208561442120).

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

140134304440 is a wasteful number, since it uses less digits than its factorization.

140134304440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40241 (or 40237 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140134304440 its reverse (44403431041), we get a palindrome (184537735481).

The spelling of 140134304440 in words is "one hundred forty billion, one hundred thirty-four million, three hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 127 130 212 254 260 265 424 508 520 530 635 689 1016 1060 1270 1378 1651 2120 2540 2756 3302 3445 5080 5512 6604 6731 6890 8255 13208 13462 13780 16510 26924 27560 33020 33655 40037 53848 66040 67310 80074 87503 134620 160148 175006 200185 269240 320296 350012 400370 437515 520481 700024 800740 875030 1040962 1601480 1750060 2081924 2121961 2602405 3500120 4163848 4243922 5084699 5204810 8487844 10169398 10409620 10609805 16975688 20338796 20819240 21219610 25423495 27585493 40677592 42439220 50846990 55170986 66101087 84878440 101693980 110341972 132202174 137927465 203387960 220683944 264404348 269489047 275854930 330505435 528808696 538978094 551709860 661010870 1077956188 1103419720 1322021740 1347445235 2155912376 2644043480 2694890470 3503357611 5389780940 7006715222 10779561880 14013430444 17516788055 28026860888 35033576110 70067152220 140134304440