Search a number
-
+
32052244120140 = 22351910992795431
BaseRepresentation
bin1110100100110101111101…
…01000000000001001001100
311012111011110000001220011210
413102122332220000021030
513200120443443321030
6152100333033014420
76515461326524316
oct722327650001114
9135434400056153
1032052244120140
11a23830a229632
123717b33854410
1314b668a65197a
147cb4a06107b6
153a8b44680bb0
hex1d26bea0024c

32052244120140 has 48 divisors (see below), whose sum is σ = 89746785273600. Its totient is φ = 8547217314240.

The previous prime is 32052244120123. The next prime is 32052244120147. The reversal of 32052244120140 is 4102144225023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32052244120098 and 32052244120107.

It is not an unprimeable number, because it can be changed into a prime (32052244120147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10068225 + ... + 12863655.

It is an arithmetic number, because the mean of its divisors is an integer number (1869724693200).

Almost surely, 232052244120140 is an apocalyptic number.

32052244120140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32052244120140 is an abundant number, since it is smaller than the sum of its proper divisors (57694541153460).

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

32052244120140 is a wasteful number, since it uses less digits than its factorization.

32052244120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986542 (or 2986540 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 32052244120140 its reverse (4102144225023), we get a palindrome (36154388345163).

The spelling of 32052244120140 in words is "thirty-two trillion, fifty-two billion, two hundred forty-four million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191099 382198 573297 764396 955495 1146594 1910990 2293188 2795431 2866485 3821980 5590862 5732970 8386293 11181724 11465940 13977155 16772586 27954310 33545172 41931465 55908620 83862930 167725860 534204068669 1068408137338 1602612206007 2136816274676 2671020343345 3205224412014 5342040686690 6410448824028 8013061030035 10684081373380 16026122060070 32052244120140