Search a number
-
+
3125723136 = 2143193347
BaseRepresentation
bin1011101001001110…
…1100000000000000
322001211121012001120
42322103230000000
522400141120021
61234055032240
7140313131304
oct27223540000
98054535046
103125723136
111364431068
1273296b680
133aa763423
142191b1d04
1513462a2c6
hexba4ec000

3125723136 has 120 divisors (see below), whose sum is σ = 8776313280. Its totient is φ = 986775552.

The previous prime is 3125723119. The next prime is 3125723137. The reversal of 3125723136 is 6313275213.

It is a junction number, because it is equal to n+sod(n) for n = 3125723097 and 3125723106.

It is not an unprimeable number, because it can be changed into a prime (3125723137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 932215 + ... + 935561.

It is an arithmetic number, because the mean of its divisors is an integer number (73135944).

Almost surely, 23125723136 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 3125723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388156640).

3125723136 is an abundant number, since it is smaller than the sum of its proper divisors (5650590144).

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

3125723136 is an equidigital number, since it uses as much as digits as its factorization.

3125723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3371 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 3125723136 is about 55908.1669883748. The cubic root of 3125723136 is about 1462.1216317419.

Adding to 3125723136 its reverse (6313275213), we get a palindrome (9438998349).

The spelling of 3125723136 in words is "three billion, one hundred twenty-five million, seven hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3347 3648 4096 4864 6144 6694 7296 8192 9728 10041 12288 13388 14592 16384 19456 20082 24576 26776 29184 38912 40164 49152 53552 58368 63593 77824 80328 107104 116736 127186 155648 160656 190779 214208 233472 254372 311296 321312 381558 428416 466944 508744 642624 763116 856832 933888 1017488 1285248 1526232 1713664 2034976 2570496 3052464 3427328 4069952 5140992 6104928 6854656 8139904 10281984 12209856 13709312 16279808 20563968 24419712 27418624 32559616 41127936 48839424 54837248 65119232 82255872 97678848 130238464 164511744 195357696 260476928 390715392 520953856 781430784 1041907712 1562861568 3125723136