Search a number
-
+
31416335628 = 2232310110331091
BaseRepresentation
bin11101010000100011…
…110011110100001100
310000002110101012121020
4131100203303310030
51003320040220003
622233225034140
72161345306146
oct352043636414
9100073335536
1031416335628
111236177aa47
126109325950
132c68943112
1417405adc96
15c3d148d53
hex7508f3d0c

31416335628 has 96 divisors (see below), whose sum is σ = 77394949632. Its totient is φ = 9898944000.

The previous prime is 31416335623. The next prime is 31416335641. The reversal of 31416335628 is 82653361413.

It is a super-2 number, since 2×314163356282 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31416335628.

It is not an unprimeable number, because it can be changed into a prime (31416335623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28795363 + ... + 28796453.

It is an arithmetic number, because the mean of its divisors is an integer number (806197392).

Almost surely, 231416335628 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 31416335628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38697474816).

31416335628 is an abundant number, since it is smaller than the sum of its proper divisors (45978614004).

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

31416335628 is a wasteful number, since it uses less digits than its factorization.

31416335628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2253 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 31416335628 in words is "thirty-one billion, four hundred sixteen million, three hundred thirty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 202 276 303 404 606 1033 1091 1212 2066 2182 2323 3099 3273 4132 4364 4646 6198 6546 6969 9292 12396 13092 13938 23759 25093 27876 47518 50186 71277 75279 95036 100372 104333 110191 142554 150558 208666 220382 285108 301116 312999 330573 417332 440764 625998 661146 1127003 1251996 1322292 2254006 2399659 2534393 3381009 4508012 4799318 5068786 6762018 7198977 7603179 9598636 10137572 13524036 14397954 15206358 25921069 28795908 30412716 51842138 77763207 103684276 113827303 155526414 227654606 311052828 341481909 455309212 682963818 1365927636 2618027969 5236055938 7854083907 10472111876 15708167814 31416335628