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10144141140 = 2235737976361
BaseRepresentation
bin10010111001010001…
…10100111101010100
3222011221222202121010
421130220310331110
5131233400004030
64354332052220
7506244530340
oct113450647524
928157882533
1010144141140
114336115421
121b71304070
13c588176a3
146c3364620
153e58816b0
hex25ca34f54

10144141140 has 96 divisors (see below), whose sum is σ = 32474905344. Its totient is φ = 2317685760.

The previous prime is 10144141103. The next prime is 10144141153. The reversal of 10144141140 is 4114144101.

10144141140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1591560 + ... + 1597920.

It is an arithmetic number, because the mean of its divisors is an integer number (338280264).

Almost surely, 210144141140 is an apocalyptic number.

10144141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144141140 is an abundant number, since it is smaller than the sum of its proper divisors (22330764204).

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

10144141140 is a wasteful number, since it uses less digits than its factorization.

10144141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10144141140 its reverse (4114144101), we get a palindrome (14258285241).

The spelling of 10144141140 in words is "ten billion, one hundred forty-four million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 3797 6361 7594 11391 12722 15188 18985 19083 22782 25444 26579 31805 37970 38166 44527 45564 53158 56955 63610 75940 76332 79737 89054 95415 106316 113910 127220 132895 133581 159474 178108 190830 222635 227820 265790 267162 318948 381660 398685 445270 531580 534324 667905 797370 890540 1335810 1594740 2671620 24152717 48305434 72458151 96610868 120763585 144916302 169069019 241527170 289832604 338138038 362290755 483054340 507207057 676276076 724581510 845345095 1014414114 1449163020 1690690190 2028828228 2536035285 3381380380 5072070570 10144141140