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2000340304242 = 237377133154773
BaseRepresentation
bin11101000110111101100…
…100101100000101110010
321002020020011012002121220
4131012331210230011302
5230233144104213432
64130535454525510
7264343204020510
oct35067544540562
97066204162556
102000340304242
11701380a53465
12283819b06896
13116828c04327
146cb61b554b0
1537077ced72c
hex1d1bd92c172

2000340304242 has 128 divisors (see below), whose sum is σ = 4776390955008. Its totient is φ = 546580742400.

The previous prime is 2000340304231. The next prime is 2000340304283. The reversal of 2000340304242 is 2424030430002.

It is a super-2 number, since 2×20003403042422 (a number of 25 digits) contains 22 as substring.

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, 36493168 + ... + 36547940.

It is an arithmetic number, because the mean of its divisors is an integer number (37315554336).

Almost surely, 22000340304242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000340304242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388195477504).

2000340304242 is an abundant number, since it is smaller than the sum of its proper divisors (2776050650766).

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

2000340304242 is a wasteful number, since it uses less digits than its factorization.

2000340304242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55224.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2000340304242 its reverse (2424030430002), we get a palindrome (4424370734244).

The spelling of 2000340304242 in words is "two trillion, three hundred forty million, three hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 71 74 111 142 213 222 259 331 426 497 518 662 777 993 994 1491 1554 1986 2317 2627 2982 4634 5254 6951 7881 12247 13902 15762 18389 23501 24494 36741 36778 47002 54773 55167 70503 73482 85729 109546 110334 141006 164319 164507 171458 257187 328638 329014 383411 493521 514374 766822 869537 987042 1150233 1739074 2026601 2300466 2608611 3888883 4053202 5217222 6079803 6086759 7777766 11666649 12159606 12173518 14186207 18129863 18260277 23333298 27222181 28372414 36259726 36520554 42558621 54389589 54444362 81666543 85117242 108779178 126909041 143888671 163333086 253818082 287777342 380727123 431666013 670804931 761454246 863332026 1007220697 1287220273 1341609862 2012414793 2014441394 2574440546 3021662091 3861660819 4024829586 4695634517 6043324182 7723321638 9010541911 9391269034 14086903551 18021083822 27031625733 28173807102 47627150101 54063251466 95254300202 142881450303 285762900606 333390050707 666780101414 1000170152121 2000340304242