Search a number
-
+
31441443300 = 22335229401551
BaseRepresentation
bin11101010010000011…
…100101100111100100
310000011012121210212000
4131102003211213210
51003343002141200
622235523125300
72162101600311
oct352203454744
9100135553760
1031441443300
1112374969793
126115813830
132c70bc4327
141743a67d08
15c40458300
hex7520e59e4

31441443300 has 144 divisors (see below), whose sum is σ = 104564140800. Its totient is φ = 8095248000.

The previous prime is 31441443283. The next prime is 31441443349. The reversal of 31441443300 is 334414413.

31441443300 is a `hidden beast` number, since 314 + 4 + 1 + 4 + 43 + 300 = 666.

It is a super-2 number, since 2×314414433002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 122476 + ... + 279075.

Almost surely, 231441443300 is an apocalyptic number.

31441443300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31441443300 is an abundant number, since it is smaller than the sum of its proper divisors (73122697500).

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

31441443300 is a wasteful number, since it uses less digits than its factorization.

31441443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401603 (or 401590 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31441443300 its reverse (334414413), we get a palindrome (31775857713).

The spelling of 31441443300 in words is "thirty-one billion, four hundred forty-one million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 29 30 36 45 50 54 58 60 75 87 90 100 108 116 135 145 150 174 180 225 261 270 290 300 348 435 450 522 540 580 675 725 783 870 900 1044 1305 1350 1450 1566 1740 2175 2610 2700 2900 3132 3915 4350 5220 6525 7830 8700 13050 15660 19575 26100 39150 78300 401551 803102 1204653 1606204 2007755 2409306 3613959 4015510 4818612 6023265 7227918 8031020 10038775 10841877 11644979 12046530 14455836 18069795 20077550 21683754 23289958 24093060 30116325 34934937 36139590 40155100 43367508 46579916 54209385 58224895 60232650 69869874 72279180 90348975 104804811 108418770 116449790 120465300 139739748 174674685 180697950 209609622 216837540 232899580 271046925 291124475 314414433 349349370 361395900 419219244 524024055 542093850 582248950 628828866 698698740 873373425 1048048110 1084187700 1164497900 1257657732 1572072165 1746746850 2096096220 2620120275 3144144330 3493493700 5240240550 6288288660 7860360825 10480481100 15720721650 31441443300