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142325662263114 = 231143353510127851
BaseRepresentation
bin100000010111000111000110…
…100010101010011101001010
3200122221012102010002110022210
4200113013012202222131022
5122123330424014404424
61222411301232325550
741656455406251231
oct4027070642523512
9618835363073283
10142325662263114
1141392a79a1a440
1213b678003a38b6
136155338595835
1427208551b9b18
15116c33ca66729
hex8171c68aa74a

142325662263114 has 128 divisors (see below), whose sum is σ = 318724370021376. Its totient is φ = 41996908800000.

The previous prime is 142325662263017. The next prime is 142325662263139. The reversal of 142325662263114 is 411362266523241.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5110239289 + ... + 5110267139.

It is an arithmetic number, because the mean of its divisors is an integer number (2490034140792).

Almost surely, 2142325662263114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142325662263114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159362185010688).

142325662263114 is an abundant number, since it is smaller than the sum of its proper divisors (176398707758262).

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

142325662263114 is a wasteful number, since it uses less digits than its factorization.

142325662263114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33364.

The product of its digits is 2488320, while the sum is 48.

The spelling of 142325662263114 in words is "one hundred forty-two trillion, three hundred twenty-five billion, six hundred sixty-two million, two hundred sixty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 353 473 706 946 1059 1419 2118 2838 3883 5101 7766 10202 11649 15179 15303 23298 27851 30358 30606 45537 55702 56111 83553 91074 112222 166969 167106 168333 219343 306361 333938 336666 438686 500907 612722 658029 919083 1001814 1197593 1316058 1800653 1838166 2395186 2412773 3592779 3601306 4825546 5401959 7185558 7238319 9831403 10803918 13173523 14476638 19662806 19807183 26347046 29494209 39520569 39614366 58988418 59421549 77428079 79041138 108145433 118843098 142067951 154856158 216290866 232284237 284135902 324436299 422750329 426203853 464568474 648872598 845500658 851708869 852407706 1268250987 1562747461 1703417738 2536501974 2555126607 3125494922 4650253619 4688242383 5110253214 6108921893 9300507238 9376484766 12217843786 13950760857 18326765679 27901521714 36653531358 50149986703 67198140823 100299973406 134396281646 150449960109 201594422469 300899920218 403188844938 551649853733 1103299707466 1654949561199 2156449428229 3309899122398 4312898856458 6469348284687 12938696569374 23720943710519 47441887421038 71162831131557 142325662263114