Search a number
-
+
3145402000 = 245313120977
BaseRepresentation
bin1011101101111011…
…0000011010010000
322010012121222101101
42323132300122100
522420210331000
61240040514144
7140642322136
oct27336603220
98105558341
103145402000
111374552094
1273947b954
133b1863620
1421ba55756
15136215e6a
hexbb7b0690

3145402000 has 80 divisors (see below), whose sum is σ = 8190694512. Its totient is φ = 1161369600.

The previous prime is 3145401989. The next prime is 3145402003. The reversal of 3145402000 is 2045413.

3145402000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1977403024 + 1167998976 = 44468^2 + 34176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3145402003) 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, 34489 + ... + 86488.

Almost surely, 23145402000 is an apocalyptic number.

It is an amenable number.

3145402000 is an abundant number, since it is smaller than the sum of its proper divisors (5045292512).

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

3145402000 is a wasteful number, since it uses less digits than its factorization.

3145402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121013 (or 120997 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 3145402000 is about 56083.8836030459. The cubic root of 3145402000 is about 1465.1836133710.

Adding to 3145402000 its reverse (2045413), we get a palindrome (3147447413).

The spelling of 3145402000 in words is "three billion, one hundred forty-five million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 120977 241954 483908 604885 967816 1209770 1572701 1935632 2419540 3024425 3145402 4839080 6048850 6290804 7863505 9678160 12097700 12581608 15122125 15727010 24195400 25163216 30244250 31454020 39317525 48390800 60488500 62908040 78635050 120977000 125816080 157270100 196587625 241954000 314540200 393175250 629080400 786350500 1572701000 3145402000