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1140313212 = 223237899619
BaseRepresentation
bin100001111110111…
…1100110001111100
32221110200220122200
41003331330301330
54313410010322
6305052511500
740154334213
oct10375746174
92843626580
101140313212
1153574a215
12279a7b590
13152326c5c
14ab63407a
156a19a8ac
hex43f7cc7c

1140313212 has 72 divisors (see below), whose sum is σ = 2993936400. Its totient is φ = 365637888.

The previous prime is 1140313157. The next prime is 1140313243. The reversal of 1140313212 is 2123130411.

1140313212 is a `hidden beast` number, since 1 + 140 + 313 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113739 + ... + 123357.

It is an arithmetic number, because the mean of its divisors is an integer number (41582450).

Almost surely, 21140313212 is an apocalyptic number.

1140313212 is a gapful number since it is divisible by the number (12) 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 1140313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496968200).

1140313212 is an abundant number, since it is smaller than the sum of its proper divisors (1853623188).

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

1140313212 is a wasteful number, since it uses less digits than its factorization.

1140313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1140313212 is about 33768.5239831415. The cubic root of 1140313212 is about 1044.7395891185.

Adding to 1140313212 its reverse (2123130411), we get a palindrome (3263443623).

The spelling of 1140313212 in words is "one billion, one hundred forty million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 1068 1332 1602 3204 3293 6586 9619 9879 13172 19238 19758 28857 29637 38476 39516 57714 59274 86571 115428 118548 173142 346284 355903 711806 856091 1067709 1423612 1712182 2135418 2568273 3203127 3424364 4270836 5136546 6406254 7704819 10273092 12812508 15409638 30819276 31675367 63350734 95026101 126701468 190052202 285078303 380104404 570156606 1140313212