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140014468350 = 23352491211231
BaseRepresentation
bin1000001001100110000…
…0110011110011111110
3111101101211220221121000
42002121200303303332
54243222200441400
6144153255551130
713054455226041
oct2023140636376
9441354827530
10140014468350
115441a576459
122317668b4a6
1310284889653
146ac3516c58
15399712d600
hex2099833cfe

140014468350 has 96 divisors (see below), whose sum is σ = 386605255680. Its totient is φ = 37260972000.

The previous prime is 140014468339. The next prime is 140014468367. The reversal of 140014468350 is 53864410041.

140014468350 is a `hidden beast` number, since 1 + 400 + 144 + 68 + 3 + 50 = 666.

140014468350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557235 + ... + 768465.

It is an arithmetic number, because the mean of its divisors is an integer number (4027138080).

Almost surely, 2140014468350 is an apocalyptic number.

140014468350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140014468350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193302627840).

140014468350 is an abundant number, since it is smaller than the sum of its proper divisors (246590787330).

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

140014468350 is a wasteful number, since it uses less digits than its factorization.

140014468350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211743 (or 211732 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 140014468350 its reverse (53864410041), we get a palindrome (193878878391).

The spelling of 140014468350 in words is "one hundred forty billion, fourteen million, four hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 491 675 982 1350 1473 2455 2946 4419 4910 7365 8838 12275 13257 14730 22095 24550 26514 36825 44190 66285 73650 110475 132570 211231 220950 331425 422462 633693 662850 1056155 1267386 1901079 2112310 3168465 3802158 5280775 5703237 6336930 9505395 10561550 11406474 15842325 19010790 28516185 31684650 47526975 57032370 95053950 103714421 142580925 207428842 285161850 311143263 518572105 622286526 933429789 1037144210 1555716315 1866859578 2592860525 2800289367 3111432630 4667148945 5185721050 5600578734 7778581575 9334297890 14001446835 15557163150 23335744725 28002893670 46671489450 70007234175 140014468350