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107143441400450 = 25271383283710953
BaseRepresentation
bin11000010111001001000110…
…110000111100001010000010
3112001100210221122120122100002
4120113021012300330022002
5103020414231444303300
61015513003435200002
731365600234166310
oct3027110660741202
9461323848518302
10107143441400450
11311593074a0764
12100251498a6002
1347a27772c3490
141c65aad73d0b0
15c5c0a7dc45d5
hex617246c3c282

107143441400450 has 96 divisors (see below), whose sum is σ = 248231196936576. Its totient is φ = 33500589212160.

The previous prime is 107143441400447. The next prime is 107143441400461. The reversal of 107143441400450 is 54004144341701.

107143441400450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071434414004502 (a number of 29 digits) contains 22 as substring.

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, 141477827 + ... + 142233126.

It is an arithmetic number, because the mean of its divisors is an integer number (2585741634756).

Almost surely, 2107143441400450 is an apocalyptic number.

107143441400450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107143441400450 is an abundant number, since it is smaller than the sum of its proper divisors (141087755536126).

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

107143441400450 is a wasteful number, since it uses less digits than its factorization.

107143441400450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283711068 (or 283711063 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 107143441400450 in words is "one hundred seven trillion, one hundred forty-three billion, four hundred forty-one million, four hundred thousand, four hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 50 65 70 83 91 130 166 175 182 325 350 415 455 581 650 830 910 1079 1162 2075 2158 2275 2905 4150 4550 5395 5810 7553 10790 14525 15106 26975 29050 37765 53950 75530 188825 377650 283710953 567421906 1418554765 1985976671 2837109530 3688242389 3971953342 7092773825 7376484778 9929883355 14185547650 18441211945 19859766710 23548009099 25817696723 36882423890 47096018198 49649416775 51635393446 92206059725 99298833550 117740045495 129088483615 164836063693 184412119450 235480090990 258176967230 306124118287 329672127386 588700227475 612248236574 645442418075 824180318465 1177400454950 1290884836150 1530620591435 1648360636930 2142868828009 3061241182870 4120901592325 4285737656018 7653102957175 8241803184650 10714344140045 15306205914350 21428688280090 53571720700225 107143441400450