Search a number
-
+
60114213124 = 22728322112
BaseRepresentation
bin110111111111000101…
…100001100100000100
312202011110111102200221
4313333011201210010
51441103214304444
643341024114124
74225454244400
oct677705414404
9182143442627
1060114213124
11235489a7079
12b798165944
135890309114
142ca3b04100
15186c7b3a84
hexdff161904

60114213124 has 81 divisors (see below), whose sum is σ = 124457360391. Its totient is φ = 25332204240.

The previous prime is 60114213119. The next prime is 60114213167. The reversal of 60114213124 is 42131241106.

The square root of 60114213124 is 245182.

It is a perfect power (a square), and thus also a powerful number.

60114213124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601142131242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284901379 + ... + 284901589.

Almost surely, 260114213124 is an apocalyptic number.

60114213124 is the 245182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60114213124

60114213124 is an abundant number, since it is smaller than the sum of its proper divisors (64343147267).

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

60114213124 is an equidigital number, since it uses as much as digits as its factorization.

60114213124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 60114213124 by its sum of digits (25), we get a square (1502855328100 = 12259102).

The spelling of 60114213124 in words is "sixty billion, one hundred fourteen million, two hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 211 332 422 581 844 1162 1477 2324 2954 4067 5908 6889 8134 10339 13778 16268 17513 20678 27556 35026 41356 44521 48223 70052 89042 96446 122591 178084 192892 245182 311647 337561 490364 623294 675122 858137 1246588 1350244 1453579 1716274 2181529 2907158 3432548 3695243 4363058 5814316 7390486 8726116 10175053 14780972 20350106 25866701 40700212 51733402 71225371 103466804 142450742 181066907 284901484 306705169 362133814 613410338 724267628 1226820676 2146936183 4293872366 8587744732 15028553281 30057106562 60114213124