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142533105402160 = 245112921432606231
BaseRepresentation
bin100000011010001000010011…
…000111011100000100110000
3200200200000212011221210002201
4200122020103013130010300
5122140230244440332120
61223050445450552544
742010451136660124
oct4032102307340460
9620600764853081
10142533105402160
1141462a50195120
1213b9ba54738754
13616ba779547a5
14272a8d3a0b584
15117292e68a40a
hex81a2131dc130

142533105402160 has 160 divisors (see below), whose sum is σ = 374156503879680. Its totient is φ = 50019600153600.

The previous prime is 142533105402133. The next prime is 142533105402167. The reversal of 142533105402160 is 61204501335241.

It is a super-2 number, since 2×1425331054021602 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142533105402167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53386245 + ... + 55992475.

It is an arithmetic number, because the mean of its divisors is an integer number (2338478149248).

Almost surely, 2142533105402160 is an apocalyptic number.

142533105402160 is a gapful number since it is divisible by the number (10) 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 142533105402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187078251939840).

142533105402160 is an abundant number, since it is smaller than the sum of its proper divisors (231623398477520).

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

142533105402160 is a wasteful number, since it uses less digits than its factorization.

142533105402160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608427 (or 2608421 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 142533105402160 in words is "one hundred forty-two trillion, five hundred thirty-three billion, one hundred five million, four hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2143 2320 2552 3190 4286 5104 6380 8572 10715 12760 17144 21430 23573 25520 34288 42860 47146 62147 85720 94292 117865 124294 171440 188584 235730 248588 310735 377168 471460 497176 621470 683617 942920 994352 1242940 1367234 1885840 2485880 2606231 2734468 3418085 4971760 5212462 5468936 6836170 10424924 10937872 13031155 13672340 20849848 26062310 27344680 28668541 41699696 52124620 54689360 57337082 75580699 104249240 114674164 143342705 151161398 208498480 229348328 286685410 302322796 377903495 458696656 573370820 604645592 755806990 831387689 1146741640 1209291184 1511613980 1662775378 2293483280 3023227960 3325550756 4156938445 5585153033 6046455920 6651101512 8313876890 11170306066 13302203024 16627753780 22340612132 27925765165 33255507560 44681224264 55851530330 61436683363 66511015120 89362448528 111703060660 122873366726 161969437957 223406121320 245746733452 307183416815 323938875914 446812242640 491493466904 614366833630 647877751828 809847189785 982986933808 1228733667260 1295755503656 1619694379570 1781663817527 2457467334520 2591511007312 3239388759140 3563327635054 4914934669040 6478777518280 7126655270108 8908319087635 12957555036560 14253310540216 17816638175270 28506621080432 35633276350540 71266552701080 142533105402160