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10140342042300 = 22352731031449107
BaseRepresentation
bin1001001110001111101101…
…1111000011111010111100
31022220101222212112200101220
42103203323133003322330
52312114410030323200
633322224150033340
72064421062125421
oct223437337037274
938811885480356
1010140342042300
11325a5497a7648
121179324048850
135872cb8485c2
14270b1bd55d48
15128b90bca4a0
hex938fb7c3ebc

10140342042300 has 144 divisors (see below), whose sum is σ = 29770212417792. Its totient is φ = 2664456076800.

The previous prime is 10140342042287. The next prime is 10140342042331. The reversal of 10140342042300 is 324024304101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22354347 + ... + 22803453.

Almost surely, 210140342042300 is an apocalyptic number.

10140342042300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140342042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885106208896).

10140342042300 is an abundant number, since it is smaller than the sum of its proper divisors (19629870375492).

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

10140342042300 is a wasteful number, since it uses less digits than its factorization.

10140342042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450228 (or 450221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10140342042300 its reverse (324024304101), we get a palindrome (10464366346401).

The spelling of 10140342042300 in words is "ten trillion, one hundred forty billion, three hundred forty-two million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1031 1095 1460 1825 2062 2190 3093 3650 4124 4380 5155 5475 6186 7300 10310 10950 12372 15465 20620 21900 25775 30930 51550 61860 75263 77325 103100 150526 154650 225789 301052 309300 376315 449107 451578 752630 898214 903156 1128945 1347321 1505260 1796428 1881575 2245535 2257890 2694642 3763150 4491070 4515780 5389284 5644725 6736605 7526300 8982140 11227675 11289450 13473210 22455350 22578900 26946420 32784811 33683025 44910700 65569622 67366050 98354433 131139244 134732100 163924055 196708866 327848110 393417732 463029317 491772165 655696220 819620275 926058634 983544330 1389087951 1639240550 1852117268 1967088660 2315146585 2458860825 2778175902 3278481100 4630293170 4917721650 5556351804 6945439755 9260586340 9835443300 11575732925 13890879510 23151465850 27781759020 33801140141 34727198775 46302931700 67602280282 69454397550 101403420423 135204560564 138908795100 169005700705 202806840846 338011401410 405613681692 507017102115 676022802820 845028503525 1014034204230 1690057007050 2028068408460 2535085510575 3380114014100 5070171021150 10140342042300