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200002310414334 = 23210721739375987
BaseRepresentation
bin101101011110011010101010…
…101010101001111111111110
3222020011000220220002021012200
4231132122222222221333332
5202203314212431224314
61545211443141412330
760061455461442411
oct5536325252517776
9866130826067180
10200002310414334
11587aa55a1a788a
121a52195510a0a6
13877a1a1b3c35c
143756240803b78
15181c7bbd1b709
hexb5e6aaaa9ffe

200002310414334 has 144 divisors (see below), whose sum is σ = 440497652828688. Its totient is φ = 65581583917824.

The previous prime is 200002310414251. The next prime is 200002310414437. The reversal of 200002310414334 is 433414013200002.

200002310414334 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 2 + 310 + 4 + 14 + 334 = 666.

It is a super-2 number, since 2×2000023104143342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200002310414298 and 200002310414307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33406095289 + ... + 33406101275.

It is an arithmetic number, because the mean of its divisors is an integer number (3059011477977).

Almost surely, 2200002310414334 is an apocalyptic number.

200002310414334 is an abundant number, since it is smaller than the sum of its proper divisors (240495342414354).

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

200002310414334 is a wasteful number, since it uses less digits than its factorization.

200002310414334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200002310414334 its reverse (433414013200002), we get a palindrome (633416323614336).

The spelling of 200002310414334 in words is "two hundred trillion, two billion, three hundred ten million, four hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 107 173 214 321 346 519 642 937 963 1038 1557 1874 1926 2811 3114 5622 5987 8433 11449 11974 16866 17961 18511 22898 34347 35922 37022 53883 55533 68694 100259 103041 107766 111066 162101 166599 200518 206082 300777 324202 333198 486303 601554 640609 902331 972606 1035751 1281218 1458909 1804662 1921827 1980677 2071502 2917818 3107253 3843654 3961354 5609819 5765481 5942031 6214506 9321759 10727713 11219638 11530962 11884062 16829457 17344807 17826093 18643518 21455426 32183139 33658914 34689614 35652186 50488371 52034421 64366278 68545163 96549417 100976742 104068842 110825357 137090326 156103263 193098834 205635489 221650714 312206526 332476071 411270978 600250633 616906467 664952142 970498687 997428213 1200501266 1233812934 1800751899 1855894349 1940997374 1994856426 2911496061 3601503798 3711788698 5402255697 5567683047 5822992122 8734488183 10804511394 11135366094 11858313199 16703049141 17468976366 23716626398 33406098282 35574939597 64226817731 71149879194 103843359509 106724818791 128453635462 192680453193 207686719018 213449637582 311530078527 385360906386 578041359579 623060157054 934590235581 1156082719158 1869180471162 11111239467463 22222478934926 33333718402389 66667436804778 100001155207167 200002310414334