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2123131440 = 243519467997
BaseRepresentation
bin111111010001100…
…0110101000110000
312110222001020210210
41332203012220300
513322010201230
6550402024120
7103420214403
oct17643065060
95428036723
102123131440
1199a4a8091
124b3048040
1327ab296c1
14161d8bd3a
15c65d5eb0
hex7e8c6a30

2123131440 has 160 divisors (see below), whose sum is σ = 6949912320. Its totient is φ = 534684672.

The previous prime is 2123131393. The next prime is 2123131469. The reversal of 2123131440 is 441313212.

It is a super-2 number, since 2×21231314402 = 9015374223032947200, which contains 22 as substring.

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, 2129022 + ... + 2130018.

It is an arithmetic number, because the mean of its divisors is an integer number (43436952).

Almost surely, 22123131440 is an apocalyptic number.

2123131440 is a gapful number since it is divisible by the number (20) 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 2123131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474956160).

2123131440 is an abundant number, since it is smaller than the sum of its proper divisors (4826780880).

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

2123131440 is a wasteful number, since it uses less digits than its factorization.

2123131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2123131440 is about 46077.4504503016. The cubic root of 2123131440 is about 1285.2638539268.

Adding to 2123131440 its reverse (441313212), we get a palindrome (2564444652).

The spelling of 2123131440 in words is "two billion, one hundred twenty-three million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 467 570 760 912 934 997 1140 1401 1520 1868 1994 2280 2335 2802 2991 3736 3988 4560 4670 4985 5604 5982 7005 7472 7976 8873 9340 9970 11208 11964 14010 14955 15952 17746 18680 18943 19940 22416 23928 26619 28020 29910 35492 37360 37886 39880 44365 47856 53238 56040 56829 59820 70984 75772 79760 88730 94715 106476 112080 113658 119640 133095 141968 151544 177460 189430 212952 227316 239280 266190 284145 303088 354920 378860 425904 454632 465599 532380 568290 709840 757720 909264 931198 1064760 1136580 1396797 1515440 1862396 2129520 2273160 2327995 2793594 3724792 4546320 4655990 5587188 6983985 7449584 8846381 9311980 11174376 13967970 17692762 18623960 22348752 26539143 27935940 35385524 37247920 44231905 53078286 55871880 70771048 88463810 106156572 111743760 132695715 141542096 176927620 212313144 265391430 353855240 424626288 530782860 707710480 1061565720 2123131440