Search a number
-
+
3151213040 = 245375691871
BaseRepresentation
bin1011101111010011…
…1011000111110000
322010121120012122002
42323310323013300
522423202304130
61240405233132
7141042604013
oct27364730760
98117505562
103151213040
111377860aa8
1273b4027a8
133b2b19601
1421c72937a
151369b2b45
hexbbd3b1f0

3151213040 has 80 divisors (see below), whose sum is σ = 7541838720. Its totient is φ = 1223608320.

The previous prime is 3151213019. The next prime is 3151213063. The reversal of 3151213040 is 403121513.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683305 + ... + 1685175.

It is an arithmetic number, because the mean of its divisors is an integer number (94272984).

Almost surely, 23151213040 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 3151213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770919360).

3151213040 is an abundant number, since it is smaller than the sum of its proper divisors (4390625680).

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

3151213040 is a wasteful number, since it uses less digits than its factorization.

3151213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 3151213040 is about 56135.6663806532. Note that the first 3 decimals coincide. The cubic root of 3151213040 is about 1466.0853531897.

Adding to 3151213040 its reverse (403121513), we get a palindrome (3554334553).

The spelling of 3151213040 in words is "three billion, one hundred fifty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 569 592 740 1138 1480 1871 2276 2845 2960 3742 4552 5690 7484 9104 9355 11380 14968 18710 21053 22760 29936 37420 42106 45520 69227 74840 84212 105265 138454 149680 168424 210530 276908 336848 346135 421060 553816 692270 842120 1064599 1107632 1384540 1684240 2129198 2769080 4258396 5322995 5538160 8516792 10645990 17033584 21291980 39390163 42583960 78780326 85167920 157560652 196950815 315121304 393901630 630242608 787803260 1575606520 3151213040