Search a number
-
+
2311241040 = 24355118891
BaseRepresentation
bin1000100111000010…
…1011110101010000
312222002000012200000
42021300223311100
514213134203130
61021201530000
7111163140033
oct21160536520
95862005600
102311241040
11a866a9669
12546043900
132aaaac864
1417cd5701a
15d7d92260
hex89c2bd50

2311241040 has 120 divisors (see below), whose sum is σ = 8049463968. Its totient is φ = 616325760.

The previous prime is 2311241033. The next prime is 2311241041. The reversal of 2311241040 is 401421132.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311241041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40006 + ... + 78885.

Almost surely, 22311241040 is an apocalyptic number.

2311241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2311241040 is an abundant number, since it is smaller than the sum of its proper divisors (5738222928).

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

2311241040 is a wasteful number, since it uses less digits than its factorization.

2311241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118919 (or 118901 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2311241040 is about 48075.3683293222. The cubic root of 2311241040 is about 1322.1530976686.

Adding to 2311241040 its reverse (401421132), we get a palindrome (2712662172).

The spelling of 2311241040 in words is "two billion, three hundred eleven million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 118891 237782 356673 475564 594455 713346 951128 1070019 1188910 1426692 1783365 1902256 2140038 2377820 2853384 3210057 3566730 4280076 4755640 5350095 5706768 6420114 7133460 8560152 9511280 9630171 10700190 12840228 14266920 16050285 17120304 19260342 21400380 25680456 28533840 28890513 32100570 38520684 42800760 48150855 51360912 57781026 64201140 77041368 85601520 96301710 115562052 128402280 144452565 154082736 192603420 231124104 256804560 288905130 385206840 462248208 577810260 770413680 1155620520 2311241040