Search a number
-
+
126143815540 = 22531967210401
BaseRepresentation
bin111010101111011000…
…0011101111101110100
3110001121011211210000011
41311132300131331310
54031320304044130
6133541043430004
712053650512031
oct1653660357564
9401534753004
10126143815540
1149551993726
1220545385304
13bb83cc8092
1461692b0388
15343454a52a
hex1d5ec1df74

126143815540 has 48 divisors (see below), whose sum is σ = 273731318784. Its totient is φ = 48779136000.

The previous prime is 126143815517. The next prime is 126143815541. The reversal of 126143815540 is 45518341621.

It is a junction number, because it is equal to n+sod(n) for n = 126143815493 and 126143815502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126143815541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494340 + ... + 704740.

It is an arithmetic number, because the mean of its divisors is an integer number (5702735808).

Almost surely, 2126143815540 is an apocalyptic number.

126143815540 is a gapful number since it is divisible by the number (10) 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 126143815540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136865659392).

126143815540 is an abundant number, since it is smaller than the sum of its proper divisors (147587503244).

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

126143815540 is a wasteful number, since it uses less digits than its factorization.

126143815540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211408 (or 211406 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 126143815540 in words is "one hundred twenty-six billion, one hundred forty-three million, eight hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 967 1934 3868 4835 9670 19340 29977 59954 119908 149885 210401 299770 420802 599540 841604 1052005 2104010 4208020 6522431 13044862 26089724 32612155 65224310 130448620 203457767 406915534 813831068 1017288835 2034577670 4069155340 6307190777 12614381554 25228763108 31535953885 63071907770 126143815540