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10143134301040 = 2451322925870063
BaseRepresentation
bin1001001110011010000111…
…1010101011101101110000
31022220200012110200010022021
42103212201322223231300
52312141114340113130
633323405213521224
72064550216002436
oct223464172535560
938820173603267
1010143134301040
1132607519779a4
1211799831a3214
13587655195100
14270d04b22d56
15128ca5dd637a
hex939a1eabb70

10143134301040 has 120 divisors (see below), whose sum is σ = 26416957152960. Its totient is φ = 3616013786112.

The previous prime is 10143134301007. The next prime is 10143134301043. The reversal of 10143134301040 is 4010343134101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10143134300996 and 10143134301014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143134301043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12542952 + ... + 13327111.

It is an arithmetic number, because the mean of its divisors is an integer number (220141309608).

Almost surely, 210143134301040 is an apocalyptic number.

10143134301040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10143134301040 is an abundant number, since it is smaller than the sum of its proper divisors (16273822851920).

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

10143134301040 is a wasteful number, since it uses less digits than its factorization.

10143134301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25870131 (or 25870112 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10143134301040 its reverse (4010343134101), we get a palindrome (14153477435141).

The spelling of 10143134301040 in words is "ten trillion, one hundred forty-three billion, one hundred thirty-four million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 169 208 232 260 290 338 377 464 520 580 676 754 845 1040 1160 1352 1508 1690 1885 2320 2704 3016 3380 3770 4901 6032 6760 7540 9802 13520 15080 19604 24505 30160 39208 49010 78416 98020 196040 392080 25870063 51740126 103480252 129350315 206960504 258700630 336310819 413921008 517401260 672621638 750231827 1034802520 1345243276 1500463654 1681554095 2069605040 2690486552 3000927308 3363108190 3751159135 4372040647 5380973104 6001854616 6726216380 7502318270 8744081294 9753013751 12003709232 13452432760 15004636540 17488162588 19506027502 21860203235 26904865520 30009273080 34976325176 39012055004 43720406470 48765068755 60018546160 69952650352 78024110008 87440812940 97530137510 126789178763 156048220016 174881625880 195060275020 253578357526 349763251760 390120550040 507156715052 633945893815 780241100080 1014313430104 1267891787630 2028626860208 2535783575260 5071567150520 10143134301040