Search a number
-
+
1141358652 = 22327191271877
BaseRepresentation
bin100010000000111…
…1100000000111100
32221112200000201200
41010001330000330
54314141434102
6305131135500
740166250150
oct10401740074
92845600650
101141358652
115362a3715
1227a2a4590
13152601a65
14ab827060
156a30551c
hex4407c03c

1141358652 has 144 divisors (see below), whose sum is σ = 3499991040. Its totient is φ = 306343296.

The previous prime is 1141358641. The next prime is 1141358653. The reversal of 1141358652 is 2568531411.

1141358652 is a `hidden beast` number, since 1 + 14 + 13 + 586 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141358653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607138 + ... + 609014.

Almost surely, 21141358652 is an apocalyptic number.

1141358652 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 1141358652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749995520).

1141358652 is an abundant number, since it is smaller than the sum of its proper divisors (2358632388).

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

1141358652 is a wasteful number, since it uses less digits than its factorization.

1141358652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2035 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1141358652 is about 33783.9999408004. Note that the first 4 decimals coincide. The cubic root of 1141358652 is about 1045.0587642755.

The spelling of 1141358652 in words is "one billion, one hundred forty-one million, three hundred fifty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 127 133 171 228 252 254 266 342 381 399 508 532 684 762 798 889 1143 1197 1524 1596 1778 1877 2286 2394 2413 2667 3556 3754 4572 4788 4826 5334 5631 7239 7508 8001 9652 10668 11262 13139 14478 16002 16891 16893 21717 22524 26278 28956 32004 33782 33786 35663 39417 43434 50673 52556 67564 67572 71326 78834 86868 101346 106989 118251 142652 152019 157668 202692 213978 236502 238379 249641 304038 320967 427956 473004 476758 499282 608076 641934 715137 748923 953516 998564 1283868 1430274 1497846 1668653 2145411 2246769 2860548 2995692 3337306 4290822 4493538 4529201 5005959 6674612 8581644 8987076 9058402 10011918 13587603 15017877 18116804 20023836 27175206 30035754 31704407 40762809 54350412 60071508 63408814 81525618 95113221 126817628 163051236 190226442 285339663 380452884 570679326 1141358652