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34142043902512 = 24713233263382663
BaseRepresentation
bin1111100001101010100000…
…11001100001001000110000
311110212221120202001100022111
413300311100121201020300
513433340401214340022
6200340345523015104
710122452450554150
oct760652031411060
9143787522040274
1034142043902512
11a973617779a97
1239b4b5950a494
1316087723a5c30
148606ab560760
153e31a613b477
hex1f0d50661230

34142043902512 has 160 divisors (see below), whose sum is σ = 82076174788608. Its totient is φ = 13397602756608.

The previous prime is 34142043902411. The next prime is 34142043902513. The reversal of 34142043902512 is 21520934024143.

It is not an unprimeable number, because it can be changed into a prime (34142043902513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89030893 + ... + 89413555.

Almost surely, 234142043902512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142043902512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41038087394304).

34142043902512 is an abundant number, since it is smaller than the sum of its proper divisors (47934130886096).

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

34142043902512 is a wasteful number, since it uses less digits than its factorization.

34142043902512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383187 (or 383181 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 34142043902512 its reverse (21520934024143), we get a palindrome (55662977926655).

The spelling of 34142043902512 in words is "thirty-four trillion, one hundred forty-two billion, forty-three million, nine hundred two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 233 263 364 466 526 728 932 1052 1456 1631 1841 1864 2104 3029 3262 3419 3682 3728 4208 6058 6524 6838 7364 12116 13048 13676 14728 21203 23933 24232 26096 27352 29456 42406 47866 48464 54704 61279 84812 95732 122558 169624 191464 245116 339248 382663 382928 428953 490232 765326 796627 857906 980464 1530652 1593254 1715812 2678641 3061304 3186508 3431624 4974619 5357282 5576389 6122608 6373016 6863248 9949238 10714564 11152778 12746032 19898476 21429128 22305556 34822333 39796952 42858256 44611112 69644666 79593904 89160479 89222224 100640369 139289332 178320958 201280738 278578664 356641916 402561476 557157328 624123353 704482583 713283832 805122952 1159086227 1248246706 1308324797 1408965166 1426567664 1610245904 2318172454 2496493412 2616649594 2817930332 4636344908 4992986824 5233299188 5635860664 8113603589 9158273579 9272689816 9985973648 10466598376 11271721328 16227207178 18316547158 18545379632 20933196752 23449205977 32454414356 36633094316 46898411954 64908828712 73266188632 93796823908 129817657424 146532377264 164144441839 187593647816 304839677701 328288883678 375187295632 609679355402 656577767356 1219358710804 1313155534712 2133877743907 2438717421608 2626311069424 4267755487814 4877434843216 8535510975628 17071021951256 34142043902512