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120002056943790 = 23573074651400207
BaseRepresentation
bin11011010010010000100111…
…111110011111100010101110
3120201220002021200021121100210
4123102100213332133202232
5111212103203034200130
61103120103420203250
734163601561003630
oct3322204776374256
9521802250247323
10120002056943790
113526664a77455a
1211561252099526
1351c61b7620b88
14218c1b830ca50
15dd17e00155b0
hex6d2427f9f8ae

120002056943790 has 128 divisors (see below), whose sum is σ = 330292469219328. Its totient is φ = 27333749635200.

The previous prime is 120002056943771. The next prime is 120002056943807. The reversal of 120002056943790 is 97349650200021.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299649867 + ... + 300050073.

It is an arithmetic number, because the mean of its divisors is an integer number (2580409915776).

Almost surely, 2120002056943790 is an apocalyptic number.

120002056943790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002056943790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165146234609664).

120002056943790 is an abundant number, since it is smaller than the sum of its proper divisors (210290412275538).

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

120002056943790 is a wasteful number, since it uses less digits than its factorization.

120002056943790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405182.

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 120002056943790 in words is "one hundred twenty trillion, two billion, fifty-six million, nine hundred forty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 307 614 921 1535 1842 2149 3070 4298 4605 4651 6447 9210 9302 10745 12894 13953 21490 23255 27906 32235 32557 46510 64470 65114 69765 97671 139530 162785 195342 325570 400207 488355 800414 976710 1200621 1427857 2001035 2401242 2801449 2855714 4002070 4283571 5602898 6003105 7139285 8404347 8567142 9994999 12006210 14007245 14278570 16808694 19989998 21417855 28014490 29984997 42021735 42835710 49974995 59969994 84043470 99949990 122863549 149924985 245727098 299849970 368590647 614317745 737181294 860044843 1228635490 1720089686 1842953235 1861362757 2580134529 3685906470 3722725514 4300224215 5160269058 5584088271 8600448430 9306813785 11168176542 12900672645 13029539299 18613627570 25801345290 26059078598 27920441355 39088617897 55840882710 65147696495 78177235794 130295392990 195443089485 390886178970 571438366399 1142876732798 1714315099197 2857191831995 3428630198394 4000068564793 5714383663990 8000137129586 8571575495985 12000205694379 17143150991970 20000342823965 24000411388758 40000685647930 60001028471895 120002056943790