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3140120000 = 2654292707
BaseRepresentation
bin1011101100101010…
…0110110111000000
322002211200121211202
42323022212313000
522412332320000
61235331400332
7140546402543
oct27312466700
98084617752
103140120000
1113715746a6
127377530a8
133b0734394
1421b07c85a
15135a20dd5
hexbb2a6dc0

3140120000 has 140 divisors (see below), whose sum is σ = 8057951880. Its totient is φ = 1212288000.

The previous prime is 3140119979. The next prime is 3140120017. The reversal of 3140120000 is 210413.

It is a happy number.

3140120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31401200002 = 19720707228800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1158647 + ... + 1161353.

Almost surely, 23140120000 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 3140120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028975940).

3140120000 is an abundant number, since it is smaller than the sum of its proper divisors (4917831880).

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

3140120000 is an equidigital number, since it uses as much as digits as its factorization.

3140120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3140120000 is about 56036.7736401731. The cubic root of 3140120000 is about 1464.3630043337.

Adding to 3140120000 its reverse (210413), we get a palindrome (3140330413).

The spelling of 3140120000 in words is "three billion, one hundred forty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2707 2900 3625 4000 4640 5000 5414 5800 7250 8000 9280 10000 10828 11600 13535 14500 18125 20000 21656 23200 27070 29000 36250 40000 43312 46400 54140 58000 67675 72500 78503 86624 108280 116000 135350 145000 157006 173248 216560 232000 270700 290000 314012 338375 392515 433120 541400 580000 628024 676750 785030 866240 1082800 1160000 1256048 1353500 1570060 1691875 1962575 2165600 2512096 2707000 3140120 3383750 3925150 4331200 5024192 5414000 6280240 6767500 7850300 9812875 10828000 12560480 13535000 15700600 19625750 21656000 25120960 27070000 31401200 39251500 49064375 54140000 62802400 78503000 98128750 108280000 125604800 157006000 196257500 314012000 392515000 628024000 785030000 1570060000 3140120000