Search a number
-
+
7144789036 = 22711174729033
BaseRepresentation
bin1101010011101110…
…01101010000101100
3200102221011220000011
412221313031100230
5104113031222121
63140545343004
7342024463510
oct65167152054
920387156004
107144789036
113037057830
121474937a64
1389b2cc028
144bac8a140
152bc3b97e1
hex1a9dcd42c

7144789036 has 96 divisors (see below), whose sum is σ = 16857372672. Its totient is φ = 2564106240.

The previous prime is 7144788941. The next prime is 7144789061. The reversal of 7144789036 is 6309874417.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 231576 + ... + 260608.

It is an arithmetic number, because the mean of its divisors is an integer number (175597632).

Almost surely, 27144789036 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 7144789036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428686336).

7144789036 is an abundant number, since it is smaller than the sum of its proper divisors (9712583636).

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

7144789036 is a wasteful number, since it uses less digits than its factorization.

7144789036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29119 (or 29117 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 7144789036 is about 84526.8539341197. The cubic root of 7144789036 is about 1926.0303955475.

The spelling of 7144789036 in words is "seven billion, one hundred forty-four million, seven hundred eighty-nine thousand, thirty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 47 68 77 94 119 154 187 188 238 308 329 374 476 517 658 748 799 1034 1309 1316 1598 2068 2618 3196 3619 5236 5593 7238 8789 11186 14476 17578 22372 29033 35156 58066 61523 116132 123046 203231 246092 319363 406462 493561 638726 812924 987122 1277452 1364551 1974244 2235541 2729102 3454927 4471082 5429171 5458204 6909854 8942164 9551857 10858342 13819708 15010061 19103714 21716684 23197367 30020122 38004197 38207428 46394734 60040244 76008394 92789468 105070427 152016788 162381569 210140854 255171037 324763138 420281708 510342074 649526276 1020684148 1786197259 3572394518 7144789036