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200240042002 = 2711137321372
BaseRepresentation
bin1011101001111100111…
…1001001000000010010
3201010212001222002012221
42322133033021000102
511240042422321002
6231553343011254
720316064162630
oct2723717110022
9633761862187
10200240042002
1177a15313320
1232983b99b2a
1315b61c86170
149997d28350
15531e58cc37
hex2e9f3c9012

200240042002 has 144 divisors (see below), whose sum is σ = 411887028672. Its totient is φ = 70509450240.

The previous prime is 200240041993. The next prime is 200240042011.

200240042002 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (200240041993) and next prime (200240042011).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1461606078 + ... + 1461606214.

It is an arithmetic number, because the mean of its divisors is an integer number (2860326588).

Almost surely, 2200240042002 is an apocalyptic number.

200240042002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200240042002 is an abundant number, since it is smaller than the sum of its proper divisors (211646986670).

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

200240042002 is a wasteful number, since it uses less digits than its factorization.

200240042002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 2002400 and 42002, that added together give a palindrome (2044402).

The spelling of 200240042002 in words is "two hundred billion, two hundred forty million, forty-two thousand, two".

Divisors: 1 2 7 11 13 14 22 26 73 77 91 137 143 146 154 182 274 286 511 803 949 959 1001 1022 1507 1606 1781 1898 1918 2002 3014 3562 5329 5621 6643 10001 10439 10549 10658 11242 12467 13286 18769 19591 20002 20878 21098 24934 37303 37538 39182 58619 69277 70007 73073 74606 110011 117238 130013 131383 137137 138554 140014 146146 206459 220022 243997 260026 262766 274274 410333 412918 484939 487994 730073 762047 770077 820666 910091 969878 1370137 1430143 1445213 1460146 1524094 1540154 1707979 1820182 2683967 2740274 2860286 2890426 3415958 5110511 5334329 5367934 8030803 9490949 9590959 10011001 10221022 10668658 15071507 16061606 17811781 18787769 18981898 19181918 20022002 30143014 35623562 37575538 56215621 66436643 100020001 104400439 105500549 112431242 124682467 132873286 195929591 200040002 208800878 211001098 249364934 391859182 700140007 730803073 1100220011 1300260013 1371507137 1400280014 1461606146 2200440022 2600520026 2743014274 7701540077 9101820091 14302860143 15403080154 18203640182 28605720286 100120021001 200240042002