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2311053440 = 27517311683
BaseRepresentation
bin1000100110111111…
…1110000010000000
312222001122200022212
42021233332002000
514213112202230
61021153521252
7111161426063
oct21157760200
95861580285
102311053440
11a86590723
12545b73228
132aaa45357
1417cd088da
15d7d56895
hex89bfe080

2311053440 has 128 divisors (see below), whose sum is σ = 5877256320. Its totient is φ = 865976320.

The previous prime is 2311053419. The next prime is 2311053449. The reversal of 2311053440 is 443501132.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2311053449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3383339 + ... + 3384021.

It is an arithmetic number, because the mean of its divisors is an integer number (45916065).

Almost surely, 22311053440 is an apocalyptic number.

2311053440 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 2311053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938628160).

2311053440 is an abundant number, since it is smaller than the sum of its proper divisors (3566202880).

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

2311053440 is a wasteful number, since it uses less digits than its factorization.

2311053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2311053440 is about 48073.4171866324. The cubic root of 2311053440 is about 1322.1173243001.

Adding to 2311053440 its reverse (443501132), we get a palindrome (2754554572).

The spelling of 2311053440 in words is "two billion, three hundred eleven million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 311 320 340 544 622 640 680 683 1088 1244 1360 1366 1555 2176 2488 2720 2732 3110 3415 4976 5287 5440 5464 6220 6830 9952 10574 10880 10928 11611 12440 13660 19904 21148 21856 23222 24880 26435 27320 39808 42296 43712 46444 49760 52870 54640 58055 84592 87424 92888 99520 105740 109280 116110 169184 185776 199040 211480 212413 218560 232220 338368 371552 422960 424826 437120 464440 676736 743104 845920 849652 928880 1062065 1486208 1691840 1699304 1857760 2124130 3383680 3398608 3611021 3715520 4248260 6797216 7222042 7431040 8496520 13594432 14444084 16993040 18055105 27188864 28888168 33986080 36110210 57776336 67972160 72220420 115552672 135944320 144440840 231105344 288881680 462210688 577763360 1155526720 2311053440