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200042324334 = 232195322934813
BaseRepresentation
bin1011101001001101110…
…0111010000101101110
3201010100021220222120100
42322103130322011232
511234141313334314
6231522001131530
720311143462366
oct2722334720556
9633307828510
10200042324334
117792374a096
1232929929ba6
1315b3001a968
14997997b9a6
15530c034c09
hex2e9373a16e

200042324334 has 96 divisors (see below), whose sum is σ = 465144469920. Its totient is φ = 61939448064.

The previous prime is 200042324329. The next prime is 200042324341. The reversal of 200042324334 is 433423240002.

200042324334 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 4 + 2 + 324 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 200042324298 and 200042324307.

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, 41560512 + ... + 41565324.

It is an arithmetic number, because the mean of its divisors is an integer number (4845254895).

Almost surely, 2200042324334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200042324334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232572234960).

200042324334 is an abundant number, since it is smaller than the sum of its proper divisors (265102145586).

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

200042324334 is a wasteful number, since it uses less digits than its factorization.

200042324334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 200042324334 its reverse (433423240002), we get a palindrome (633465564336).

The spelling of 200042324334 in words is "two hundred billion, forty-two million, three hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 954 1007 2014 2293 3021 4586 4813 6042 6879 9063 9626 13758 14439 18126 20637 28878 41274 43317 43567 86634 87134 91447 121529 130701 182894 243058 255089 261402 274341 364587 392103 510178 548682 729174 765267 784206 823023 1093761 1530534 1646046 2187522 2295801 2309051 4591602 4618102 4846691 6927153 9693382 11036209 13854306 14540073 20781459 22072418 29080146 33108627 41562918 43620219 66217254 87240438 99325881 198651762 209687971 419375942 584919077 629063913 1169838154 1258127826 1754757231 1887191739 3509514462 3774383478 5264271693 10528543386 11113462463 22226924926 33340387389 66680774778 100021162167 200042324334