Search a number
-
+
11448829140 = 22357231185179
BaseRepresentation
bin10101010100110011…
…10100010011010100
31002112212222210001220
422222121310103110
5141421400013030
65132020050340
7553466304420
oct125231642324
932485883056
1011448829140
114945624871
1222762339b0
131105c04418
147a8745b80
1547019aa10
hex2aa6744d4

11448829140 has 96 divisors (see below), whose sum is σ = 38229166080. Its totient is φ = 2503095936.

The previous prime is 11448829099. The next prime is 11448829153. The reversal of 11448829140 is 4192884411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11448829092 and 11448829101.

It is a congruent number.

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, 582930 + ... + 602249.

It is an arithmetic number, because the mean of its divisors is an integer number (398220480).

Almost surely, 211448829140 is an apocalyptic number.

11448829140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11448829140 is an abundant number, since it is smaller than the sum of its proper divisors (26780336940).

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

11448829140 is a wasteful number, since it uses less digits than its factorization.

11448829140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185221 (or 1185219 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 11448829140 in words is "eleven billion, four hundred forty-eight million, eight hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 1185179 2370358 3555537 4740716 5925895 7111074 8296253 11851790 14222148 16592506 17777685 23703580 24888759 27259117 33185012 35555370 41481265 49777518 54518234 71110740 81777351 82962530 99555036 109036468 124443795 136295585 163554702 165925060 190813819 248887590 272591170 327109404 381627638 408886755 497775180 545182340 572441457 763255276 817773510 954069095 1144882914 1635547020 1908138190 2289765828 2862207285 3816276380 5724414570 11448829140