Search a number
-
+
3424162063536 = 2433223283125597
BaseRepresentation
bin110001110100111111111…
…101101010010010110000
3110010100100202000122112000
4301310333331222102300
5422100140442013121
611141012140334000
7502246633211034
oct61647775522260
913110322018460
103424162063536
1111001a7243025
12473760b44300
131bab87bcb356
14bba320401c4
155e10c492526
hex31d3ff6a4b0

3424162063536 has 160 divisors (see below), whose sum is σ = 9907652536320. Its totient is φ = 1132244925696.

The previous prime is 3424162063481. The next prime is 3424162063541. The reversal of 3424162063536 is 6353602614243.

3424162063536 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 1 + 6 + 2 + 0 + 635 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3424162063491 and 3424162063500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27200290 + ... + 27325886.

It is an arithmetic number, because the mean of its divisors is an integer number (61922828352).

Almost surely, 23424162063536 is an apocalyptic number.

3424162063536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424162063536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953826268160).

3424162063536 is an abundant number, since it is smaller than the sum of its proper divisors (6483490472784).

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

3424162063536 is a wasteful number, since it uses less digits than its factorization.

3424162063536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126120 (or 126108 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 3424162063536 its reverse (6353602614243), we get a palindrome (9777764677779).

The spelling of 3424162063536 in words is "three trillion, four hundred twenty-four billion, one hundred sixty-two million, sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 283 432 446 566 669 849 892 1132 1338 1698 1784 2007 2264 2547 2676 3396 3568 4014 4528 5094 5352 6021 6792 7641 8028 10188 10704 12042 13584 15282 16056 20376 24084 30564 32112 40752 48168 61128 63109 96336 122256 125597 126218 189327 251194 252436 376791 378654 502388 504872 567981 753582 757308 1004776 1009744 1130373 1135962 1507164 1514616 1703943 2009552 2260746 2271924 3014328 3029232 3391119 3407886 4521492 4543848 6028656 6782238 6815772 9042984 9087696 13564476 13631544 18085968 27128952 27263088 28008131 35543951 54257904 56016262 71087902 84024393 106631853 112032524 142175804 168048786 213263706 224065048 252073179 284351608 319895559 336097572 426527412 448130096 504146358 568703216 639791118 672195144 756219537 853054824 959686677 1008292716 1279582236 1344390288 1512439074 1706109648 1919373354 2016585432 2559164472 3024878148 3838746708 4033170864 5118328944 6049756296 7677493416 7926301073 12099512592 15354986832 15852602146 23778903219 31705204292 47557806438 63410408584 71336709657 95115612876 126820817168 142673419314 190231225752 214010128971 285346838628 380462451504 428020257942 570693677256 856040515884 1141387354512 1712081031768 3424162063536