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3140031400 = 2352111579091
BaseRepresentation
bin1011101100101001…
…0001001110101000
322002211112010022021
42323022101032220
522412322001100
61235325434224
7140545553332
oct27312211650
98084463267
103140031400
111371514080
1273770b974
133b0702c5c
1421b058452
15135a04a1a
hexbb2913a8

3140031400 has 96 divisors (see below), whose sum is σ = 8015870880. Its totient is φ = 1134432000.

The previous prime is 3140031379. The next prime is 3140031421. The reversal of 3140031400 is 41300413.

It is an interprime number because it is at equal distance from previous prime (3140031379) and next prime (3140031421).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340855 + ... + 349945.

It is an arithmetic number, because the mean of its divisors is an integer number (83498655).

Almost surely, 23140031400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007935440).

3140031400 is an abundant number, since it is smaller than the sum of its proper divisors (4875839480).

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

3140031400 is a wasteful number, since it uses less digits than its factorization.

3140031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3140031400 is about 56035.9830823017. The cubic root of 3140031400 is about 1464.3492316347.

Adding to 3140031400 its reverse (41300413), we get a palindrome (3181331813).

The spelling of 3140031400 in words is "three billion, one hundred forty million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 157 200 220 275 314 440 550 628 785 1100 1256 1570 1727 2200 3140 3454 3925 6280 6908 7850 8635 9091 13816 15700 17270 18182 31400 34540 36364 43175 45455 69080 72728 86350 90910 100001 172700 181820 200002 227275 345400 363640 400004 454550 500005 800008 909100 1000010 1427287 1818200 2000020 2500025 2854574 4000040 5000050 5709148 7136435 10000100 11418296 14272870 15700157 20000200 28545740 31400314 35682175 57091480 62800628 71364350 78500785 125601256 142728700 157001570 285457400 314003140 392503925 628006280 785007850 1570015700 3140031400