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140803065505920 = 2735203593602089
BaseRepresentation
bin100000000000111101000100…
…101100111110100010000000
3200110112122022201200010011010
4200000331010230332202000
5121423404134232142140
61215244011343520520
741441454136332126
oct4000750454764200
9613478281603133
10140803065505920
1140956276827a04
12139606b18b9140
1360748977c86ac
1426aac9482b916
1511429269b1880
hex800f44b3e880

140803065505920 has 128 divisors (see below), whose sum is σ = 448831940688000. Its totient is φ = 37545629442048.

The previous prime is 140803065505871. The next prime is 140803065505937. The reversal of 140803065505920 is 29505560308041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140803065505920.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37288236 + ... + 40890324.

It is an arithmetic number, because the mean of its divisors is an integer number (3506499536625).

Almost surely, 2140803065505920 is an apocalyptic number.

140803065505920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140803065505920 is an abundant number, since it is smaller than the sum of its proper divisors (308028875182080).

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

140803065505920 is a wasteful number, since it uses less digits than its factorization.

140803065505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622470 (or 3622458 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 140803065505920 in words is "one hundred forty trillion, eight hundred three billion, sixty-five million, five hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 20359 40718 61077 81436 101795 122154 162872 203590 244308 305385 325744 407180 488616 610770 651488 814360 977232 1221540 1302976 1628720 1954464 2443080 2605952 3257440 3602089 3908928 4886160 6514880 7204178 7817856 9772320 10806267 13029760 14408356 18010445 19544640 21612534 28816712 36020890 39089280 43225068 54031335 57633424 72041780 86450136 108062670 115266848 144083560 172900272 216125340 230533696 288167120 345800544 432250680 461067392 576334240 691601088 864501360 1152668480 1383202176 1729002720 2305336960 3458005440 6916010880 73334929951 146669859902 220004789853 293339719804 366674649755 440009579706 586679439608 733349299510 880019159412 1100023949265 1173358879216 1466698599020 1760038318824 2200047898530 2346717758432 2933397198040 3520076637648 4400095797060 4693435516864 5866794396080 7040153275296 8800191594120 9386871033728 11733588792160 14080306550592 17600383188240 23467177584320 28160613101184 35200766376480 46934355168640 70401532752960 140803065505920