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141139307088 = 24331375733199
BaseRepresentation
bin1000001101110010001…
…1101110101001010000
3111111022020111200021000
42003130203232221100
54303023130311323
6144501041102000
713124364213213
oct2033443565120
9444266450230
10141139307088
115494750644a
122342b327900
1310403925cc0
146b8ca7d77a
153a10c6de43
hex20dc8eea50

141139307088 has 160 divisors (see below), whose sum is σ = 436874816000. Its totient is φ = 43368804864.

The previous prime is 141139307083. The next prime is 141139307119. The reversal of 141139307088 is 880703931141.

141139307088 is a `hidden beast` number, since 1 + 411 + 3 + 93 + 0 + 70 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141139307083) 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, 4234713 + ... + 4267911.

It is an arithmetic number, because the mean of its divisors is an integer number (2730467600).

Almost surely, 2141139307088 is an apocalyptic number.

141139307088 is a gapful number since it is divisible by the number (18) 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 141139307088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218437408000).

141139307088 is an abundant number, since it is smaller than the sum of its proper divisors (295735508912).

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

141139307088 is a wasteful number, since it uses less digits than its factorization.

141139307088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33986 (or 33974 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 141139307088 in words is "one hundred forty-one billion, one hundred thirty-nine million, three hundred seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 757 936 1404 1514 1872 2271 2808 3028 4542 5616 6056 6813 9084 9841 12112 13626 18168 19682 20439 27252 29523 33199 36336 39364 40878 54504 59046 66398 78728 81756 88569 99597 109008 118092 132796 157456 163512 177138 199194 236184 265592 265707 298791 327024 354276 398388 431587 472368 531184 531414 597582 708552 796776 863174 896373 1062828 1195164 1294761 1417104 1593552 1726348 1792746 2125656 2390328 2589522 3452696 3585492 3884283 4251312 4780656 5179044 6905392 7170984 7768566 10358088 11652849 14341968 15537132 20716176 23305698 25131643 31074264 46611396 50263286 62148528 75394929 93222792 100526572 150789858 186445584 201053144 226184787 301579716 326711359 402106288 452369574 603159432 653422718 678554361 904739148 980134077 1206318864 1306845436 1357108722 1809478296 1960268154 2613690872 2714217444 2940402231 3618956592 3920536308 5227381744 5428434888 5880804462 7841072616 8821206693 10856869776 11761608924 15682145232 17642413386 23523217848 35284826772 47046435696 70569653544 141139307088