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12410421140 = 225131913011931
BaseRepresentation
bin10111000111011011…
…11111111110010100
31012000220101201022102
423203231333332110
5200404031434030
65411250221232
7616353560555
oct134355777624
935026351272
1012410421140
1152993a50a7
1224a4284818
13122a1b4580
1485a33632c
154c97e1c45
hex2e3b7ff94

12410421140 has 96 divisors (see below), whose sum is σ = 29581856640. Its totient is φ = 4335552000.

The previous prime is 12410421113. The next prime is 12410421169. The reversal of 12410421140 is 4112401421.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 6425975 + ... + 6427905.

It is an arithmetic number, because the mean of its divisors is an integer number (308144340).

Almost surely, 212410421140 is an apocalyptic number.

12410421140 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 12410421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790928320).

12410421140 is an abundant number, since it is smaller than the sum of its proper divisors (17171435500).

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

12410421140 is a wasteful number, since it uses less digits than its factorization.

12410421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12410421140 its reverse (4112401421), we get a palindrome (16522822561).

The spelling of 12410421140 in words is "twelve billion, four hundred ten million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 1301 1931 2470 2602 3862 4940 5204 6505 7724 9655 13010 16913 19310 24719 25103 26020 33826 36689 38620 49438 50206 67652 73378 84565 98876 100412 123595 125515 146756 169130 183445 247190 251030 321347 338260 366890 476957 494380 502060 642694 733780 953914 1285388 1606735 1907828 2384785 2512231 3213470 4769570 5024462 6426940 9539140 10048924 12561155 25122310 32659003 47732389 50244620 65318006 95464778 130636012 163295015 190929556 238661945 326590030 477323890 620521057 653180060 954647780 1241042114 2482084228 3102605285 6205210570 12410421140