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1141214310 = 232537834129
BaseRepresentation
bin100010000000101…
…1000110001100110
32221112101200201200
41010001120301212
54314122324220
6305124103330
740165106265
oct10401306146
92845350650
101141214310
11536205225
1227a234b46
13152581152
14ab7ca5dc
156a2c7890
hex44058c66

1141214310 has 96 divisors (see below), whose sum is σ = 3084812640. Its totient is φ = 292460544.

The previous prime is 1141214287. The next prime is 1141214359. The reversal of 1141214310 is 134121411.

1141214310 is a `hidden beast` number, since 1 + 141 + 214 + 310 = 666.

It is a super-2 number, since 2×11412143102 = 2604740202697552200, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274326 + ... + 278454.

It is an arithmetic number, because the mean of its divisors is an integer number (32133465).

Almost surely, 21141214310 is an apocalyptic number.

1141214310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141214310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542406320).

1141214310 is an abundant number, since it is smaller than the sum of its proper divisors (1943598330).

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

1141214310 is a wasteful number, since it uses less digits than its factorization.

1141214310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141214310 is about 33781.8636253242. The cubic root of 1141214310 is about 1045.0147079422.

Adding to 1141214310 its reverse (134121411), we get a palindrome (1275335721).

The spelling of 1141214310 in words is "one billion, one hundred forty-one million, two hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 83 90 111 166 185 222 249 333 370 415 498 555 666 747 830 1110 1245 1494 1665 2490 3071 3330 3735 4129 6142 7470 8258 9213 12387 15355 18426 20645 24774 27639 30710 37161 41290 46065 55278 61935 74322 92130 123870 138195 152773 185805 276390 305546 342707 371610 458319 685414 763865 916638 1028121 1374957 1527730 1713535 2056242 2291595 2749914 3084363 3427070 4583190 5140605 6168726 6874785 10281210 12680159 13749570 15421815 25360318 30843630 38040477 63400795 76080954 114121431 126801590 190202385 228242862 380404770 570607155 1141214310