Search a number
-
+
3151403040 = 253543115233
BaseRepresentation
bin1011101111010110…
…1001100000100000
322010121220212021010
42323311221200200
522423224344130
61240413300520
7141044324652
oct27365514040
98117825233
103151403040
111377980825
1273b494740
133b2b84c36
1421c7786d2
151369ee0b0
hexbbd69820

3151403040 has 96 divisors (see below), whose sum is σ = 9950605056. Its totient is φ = 838369280.

The previous prime is 3151402997. The next prime is 3151403051. The reversal of 3151403040 is 403041513.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31514030402 = 19862682241042483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3151402998 and 3151403016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199264 + ... + 214496.

It is an arithmetic number, because the mean of its divisors is an integer number (103652136).

Almost surely, 23151403040 is an apocalyptic number.

3151403040 is a gapful number since it is divisible by the number (30) 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 3151403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975302528).

3151403040 is an abundant number, since it is smaller than the sum of its proper divisors (6799202016).

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

3151403040 is a wasteful number, since it uses less digits than its factorization.

3151403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15682 (or 15674 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3151403040 is about 56137.3586838569. The cubic root of 3151403040 is about 1466.1148180989.

Adding to 3151403040 its reverse (403041513), we get a palindrome (3554444553).

The spelling of 3151403040 in words is "three billion, one hundred fifty-one million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 431 480 862 1293 1724 2155 2586 3448 4310 5172 6465 6896 8620 10344 12930 13792 15233 17240 20688 25860 30466 34480 41376 45699 51720 60932 68960 76165 91398 103440 121864 152330 182796 206880 228495 243728 304660 365592 456990 487456 609320 731184 913980 1218640 1462368 1827960 2437280 3655920 6565423 7311840 13130846 19696269 26261692 32827115 39392538 52523384 65654230 78785076 98481345 105046768 131308460 157570152 196962690 210093536 262616920 315140304 393925380 525233840 630280608 787850760 1050467680 1575701520 3151403040