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30155134351356 = 2235716619266681
BaseRepresentation
bin1101101101101000010100…
…00100100011011111111100
310221202210200011100100100000
412312310022010203133330
512423030203343220411
6144045024422434300
76231431224540650
oct666641204433774
9127683604310300
1030155134351356
1196767a2220393
123470325592990
1313a980362a521
147637329b2a60
1537460e4ec956
hex1b6d0a1237fc

30155134351356 has 144 divisors (see below), whose sum is σ = 90347082658560. Its totient is φ = 8615201938560.

The previous prime is 30155134351297. The next prime is 30155134351373. The reversal of 30155134351356 is 65315343155103.

30155134351356 is a `hidden beast` number, since 3 + 0 + 1 + 5 + 51 + 34 + 3 + 513 + 56 = 666.

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, 112942336 + ... + 113209016.

It is an arithmetic number, because the mean of its divisors is an integer number (627410296240).

Almost surely, 230155134351356 is an apocalyptic number.

30155134351356 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 30155134351356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45173541329280).

30155134351356 is an abundant number, since it is smaller than the sum of its proper divisors (60191948307204).

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

30155134351356 is a wasteful number, since it uses less digits than its factorization.

30155134351356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283326 (or 283312 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 30155134351356 in words is "thirty trillion, one hundred fifty-five billion, one hundred thirty-four million, three hundred fifty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 16619 33238 49857 66476 99714 116333 149571 199428 232666 266681 299142 348999 448713 465332 533362 598284 697998 800043 897426 1046997 1066724 1346139 1395996 1600086 1794852 1866767 2093994 2400129 2692278 3140991 3200172 3733534 4038417 4187988 4800258 5384556 5600301 6281982 7200387 7467068 8076834 9422973 9600516 11200602 12563964 14400774 16153668 16800903 18845946 21601161 22401204 28268919 28801548 33601806 37691892 43202322 50402709 56537838 64803483 67203612 86404644 100805418 113075676 129606966 151208127 201610836 259213932 302416254 453624381 604832508 907248762 1814497524 4431971539 8863943078 13295914617 17727886156 26591829234 31023800773 39887743851 53183658468 62047601546 79775487702 93071402319 119663231553 124095203092 159550975404 186142804638 239326463106 279214206957 358989694659 372285609276 478652926212 558428413914 717979389318 837642620871 1076969083977 1116856827828 1435958778636 1675285241742 2153938167954 2512927862613 3350570483484 4307876335908 5025855725226 7538783587839 10051711450452 15077567175678 30155134351356