Search a number
-
+
131040043400 = 23527213371433
BaseRepresentation
bin111101000001010011…
…0000110000110001000
3110112020101221220221202
41322002212012012020
54121332222342100
6140110550523332
712316202663600
oct1720246060610
9415211856852
10131040043400
1150634763132
1221491066548
13c4844c2226
1464b167bc00
15361e3047d5
hex1e82986188

131040043400 has 72 divisors (see below), whose sum is σ = 354409858170. Its totient is φ = 44928011520.

The previous prime is 131040043369. The next prime is 131040043411. The reversal of 131040043400 is 4340040131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 77672575204 + 53367468196 = 278698^2 + 231014^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6675917 + ... + 6695516.

Almost surely, 2131040043400 is an apocalyptic number.

131040043400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131040043400 is an abundant number, since it is smaller than the sum of its proper divisors (223369814770).

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

131040043400 is a wasteful number, since it uses less digits than its factorization.

131040043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13371463 (or 13371447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131040043400 its reverse (4340040131), we get a palindrome (135380083531).

The spelling of 131040043400 in words is "one hundred thirty-one billion, forty million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 13371433 26742866 53485732 66857165 93600031 106971464 133714330 187200062 267428660 334285825 374400124 468000155 534857320 655200217 668571650 748800248 936000310 1310400434 1337143300 1872000620 2340000775 2620800868 2674286600 3276001085 3744001240 4680001550 5241601736 6552002170 9360003100 13104004340 16380005425 18720006200 26208008680 32760010850 65520021700 131040043400