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140414201133040 = 2454753704607593
BaseRepresentation
bin11111111011010010111010…
…100101000111011111110000
3200102011110121002202012211101
4133323102322211013133300
5121401021240442224130
61214345220554454144
741401406541602242
oct3773227245073760
9612143532665741
10140414201133040
1140816367a4902a
12138b9267a34354
136047005220833
142696125562092
1511377679e81ca
hex7fb4ba9477f0

140414201133040 has 80 divisors (see below), whose sum is σ = 339699776358528. Its totient is φ = 53933483522048.

The previous prime is 140414201132939. The next prime is 140414201133053. The reversal of 140414201133040 is 40331102414041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1404142011330402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352104517 + ... + 352503076.

Almost surely, 2140414201133040 is an apocalyptic number.

140414201133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414201133040 is an abundant number, since it is smaller than the sum of its proper divisors (199285575225488).

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

140414201133040 is a wasteful number, since it uses less digits than its factorization.

140414201133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704607706 (or 704607700 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 140414201133040 its reverse (40331102414041), we get a palindrome (180745303547081).

The spelling of 140414201133040 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred one million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 53 80 94 106 188 212 235 265 376 424 470 530 752 848 940 1060 1880 2120 2491 3760 4240 4982 9964 12455 19928 24910 39856 49820 99640 199280 704607593 1409215186 2818430372 3523037965 5636860744 7046075930 11273721488 14092151860 28184303720 33116556871 37344202429 56368607440 66233113742 74688404858 132466227484 149376809716 165582784355 186721012145 264932454968 298753619432 331165568710 373442024290 529864909936 597507238864 662331137420 746884048580 1324662274840 1493768097160 1755177514163 2649324549680 2987536194320 3510355028326 7020710056652 8775887570815 14041420113304 17551775141630 28082840226608 35103550283260 70207100566520 140414201133040