Search a number
-
+
119382390240 = 2535673712139
BaseRepresentation
bin110111100101110111…
…1101011010111100000
3102102010222000210011220
41233023233223113200
53423443342441430
6130502110535040
711424256400601
oct1571357532740
9372128023156
10119382390240
11466a2279833
121b178b07480
13b3472642c9
145ac72d7da8
15318ab5a110
hex1bcbbeb5e0

119382390240 has 96 divisors (see below), whose sum is σ = 381667386240. Its totient is φ = 31360141824.

The previous prime is 119382390223. The next prime is 119382390289. The reversal of 119382390240 is 42093283911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 119382390192 and 119382390201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1823910 + ... + 1888229.

It is an arithmetic number, because the mean of its divisors is an integer number (3975701940).

Almost surely, 2119382390240 is an apocalyptic number.

119382390240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

119382390240 is an abundant number, since it is smaller than the sum of its proper divisors (262284996000).

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

119382390240 is a wasteful number, since it uses less digits than its factorization.

119382390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712224 (or 3712216 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 119382390240 in words is "one hundred nineteen billion, three hundred eighty-two million, three hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 32160 3712139 7424278 11136417 14848556 18560695 22272834 29697112 37121390 44545668 55682085 59394224 74242780 89091336 111364170 118788448 148485560 178182672 222728340 248713313 296971120 356365344 445456680 497426626 593942240 746139939 890913360 994853252 1243566565 1492279878 1781826720 1989706504 2487133130 2984559756 3730699695 3979413008 4974266260 5969119512 7461399390 7958826016 9948532520 11938239024 14922798780 19897065040 23876478048 29845597560 39794130080 59691195120 119382390240