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814240140 = 223573315857
BaseRepresentation
bin110000100010000…
…101000110001100
32002202010200111020
4300202011012030
53131421141030
6212443554140
726114632650
oct6042050614
92082120436
10814240140
1138868773a
121a882b950
13cc8ca6cc
147a1d4a60
154b73b510
hex3088518c

814240140 has 96 divisors (see below), whose sum is σ = 2613886464. Its totient is φ = 185518080.

The previous prime is 814240129. The next prime is 814240153. The reversal of 814240140 is 41042418.

It is a self number, because there is not a number n which added to its sum of digits gives 814240140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136092 + ... + 141948.

It is an arithmetic number, because the mean of its divisors is an integer number (27227984).

Almost surely, 2814240140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306943232).

814240140 is an abundant number, since it is smaller than the sum of its proper divisors (1799646324).

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

814240140 is a wasteful number, since it uses less digits than its factorization.

814240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 814240140 is about 28534.8933763559. The cubic root of 814240140 is about 933.7934774714.

Adding to 814240140 its reverse (41042418), we get a palindrome (855282558).

The spelling of 814240140 in words is "eight hundred fourteen million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 331 420 662 993 1324 1655 1986 2317 3310 3972 4634 4965 5857 6620 6951 9268 9930 11585 11714 13902 17571 19860 23170 23428 27804 29285 34755 35142 40999 46340 58570 69510 70284 81998 87855 117140 122997 139020 163996 175710 204995 245994 351420 409990 491988 614985 819980 1229970 1938667 2459940 3877334 5816001 7754668 9693335 11632002 13570669 19386670 23264004 27141338 29080005 38773340 40712007 54282676 58160010 67853345 81424014 116320020 135706690 162848028 203560035 271413380 407120070 814240140